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Finding the Fourth Proportional to 13,385.83, 18,470.95 and 7,416.02

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Solution

The fourth proportional to 13,385.83, 18,470.95 and 7,416.02 is: 10,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.83 : 18,470.95 = 7,416.02 : x
  2. Step 2: Convert to fraction form
    13,385.83/18,470.95 = 7,416.02/x
  3. Step 3: Cross multiply
    13,385.83x = 18,470.95 × 7,416.02
  4. Step 4: Simplify right side
    13,385.83x = 136,980,934.62
  5. Step 5: Solve for x
    x = 136,980,934.62/13,385.83
  6. Step 6: Final answer
    x = 10,233.28

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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.