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Finding the Fourth Proportional to 13,000.40, 19,457.40 and 11,445.20

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Solution

The fourth proportional to 13,000.40, 19,457.40 and 11,445.20 is: 17,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.40 : 19,457.40 = 11,445.20 : x
  2. Step 2: Convert to fraction form
    13,000.40/19,457.40 = 11,445.20/x
  3. Step 3: Cross multiply
    13,000.40x = 19,457.40 × 11,445.20
  4. Step 4: Simplify right side
    13,000.40x = 222,693,834.48
  5. Step 5: Solve for x
    x = 222,693,834.48/13,000.40
  6. Step 6: Final answer
    x = 17,129.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.