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Finding the Fourth Proportional to 12,902.76, 17,785.08 and 9,711.36

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Solution

The fourth proportional to 12,902.76, 17,785.08 and 9,711.36 is: 13,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.76 : 17,785.08 = 9,711.36 : x
  2. Step 2: Convert to fraction form
    12,902.76/17,785.08 = 9,711.36/x
  3. Step 3: Cross multiply
    12,902.76x = 17,785.08 × 9,711.36
  4. Step 4: Simplify right side
    12,902.76x = 172,717,314.51
  5. Step 5: Solve for x
    x = 172,717,314.51/12,902.76
  6. Step 6: Final answer
    x = 13,386.08

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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.