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Finding the Fourth Proportional to 13,386.83, 18,472.33 and 7,417.02

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Solution

The fourth proportional to 13,386.83, 18,472.33 and 7,417.02 is: 10,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.83 : 18,472.33 = 7,417.02 : x
  2. Step 2: Convert to fraction form
    13,386.83/18,472.33 = 7,417.02/x
  3. Step 3: Cross multiply
    13,386.83x = 18,472.33 × 7,417.02
  4. Step 4: Simplify right side
    13,386.83x = 137,009,641.06
  5. Step 5: Solve for x
    x = 137,009,641.06/13,386.83
  6. Step 6: Final answer
    x = 10,234.66

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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.