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Finding the Fourth Proportional to 13,000.04, 19,502.70 and 4,232.60

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Solution

The fourth proportional to 13,000.04, 19,502.70 and 4,232.60 is: 6,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.04 : 19,502.70 = 4,232.60 : x
  2. Step 2: Convert to fraction form
    13,000.04/19,502.70 = 4,232.60/x
  3. Step 3: Cross multiply
    13,000.04x = 19,502.70 × 4,232.60
  4. Step 4: Simplify right side
    13,000.04x = 82,547,128.02
  5. Step 5: Solve for x
    x = 82,547,128.02/13,000.04
  6. Step 6: Final answer
    x = 6,349.76

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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.