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Finding the Fourth Proportional to 10,018.60, 13,785.81 and 9,714.24

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Solution

The fourth proportional to 10,018.60, 13,785.81 and 9,714.24 is: 13,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.60 : 13,785.81 = 9,714.24 : x
  2. Step 2: Convert to fraction form
    10,018.60/13,785.81 = 9,714.24/x
  3. Step 3: Cross multiply
    10,018.60x = 13,785.81 × 9,714.24
  4. Step 4: Simplify right side
    10,018.60x = 133,918,666.93
  5. Step 5: Solve for x
    x = 133,918,666.93/10,018.60
  6. Step 6: Final answer
    x = 13,367.00

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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.