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Finding the Fourth Proportional to 23,457.66, 32,368.50 and 13,385.49

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Solution

The fourth proportional to 23,457.66, 32,368.50 and 13,385.49 is: 18,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.66 : 32,368.50 = 13,385.49 : x
  2. Step 2: Convert to fraction form
    23,457.66/32,368.50 = 13,385.49/x
  3. Step 3: Cross multiply
    23,457.66x = 32,368.50 × 13,385.49
  4. Step 4: Simplify right side
    23,457.66x = 433,268,233.07
  5. Step 5: Solve for x
    x = 433,268,233.07/23,457.66
  6. Step 6: Final answer
    x = 18,470.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.