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Finding the Fourth Proportional to 19,785.60, 29,675.16 and 7,311.47

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Solution

The fourth proportional to 19,785.60, 29,675.16 and 7,311.47 is: 10,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.60 : 29,675.16 = 7,311.47 : x
  2. Step 2: Convert to fraction form
    19,785.60/29,675.16 = 7,311.47/x
  3. Step 3: Cross multiply
    19,785.60x = 29,675.16 × 7,311.47
  4. Step 4: Simplify right side
    19,785.60x = 216,968,893.71
  5. Step 5: Solve for x
    x = 216,968,893.71/19,785.60
  6. Step 6: Final answer
    x = 10,966.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.