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Finding the Fourth Proportional to 19,732.68, 29,599.02 and 8,047.08

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Solution

The fourth proportional to 19,732.68, 29,599.02 and 8,047.08 is: 12,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.68 : 29,599.02 = 8,047.08 : x
  2. Step 2: Convert to fraction form
    19,732.68/29,599.02 = 8,047.08/x
  3. Step 3: Cross multiply
    19,732.68x = 29,599.02 × 8,047.08
  4. Step 4: Simplify right side
    19,732.68x = 238,185,681.86
  5. Step 5: Solve for x
    x = 238,185,681.86/19,732.68
  6. Step 6: Final answer
    x = 12,070.62

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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.