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Finding the Fourth Proportional to 13,385.66, 18,472.32 and 7,417.40

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Solution

The fourth proportional to 13,385.66, 18,472.32 and 7,417.40 is: 10,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.66 : 18,472.32 = 7,417.40 : x
  2. Step 2: Convert to fraction form
    13,385.66/18,472.32 = 7,417.40/x
  3. Step 3: Cross multiply
    13,385.66x = 18,472.32 × 7,417.40
  4. Step 4: Simplify right side
    13,385.66x = 137,016,494.01
  5. Step 5: Solve for x
    x = 137,016,494.01/13,385.66
  6. Step 6: Final answer
    x = 10,236.07

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