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Finding the Fourth Proportional to 20,089, 30,126.30 and 9,557.32

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Solution

The fourth proportional to 20,089, 30,126.30 and 9,557.32 is: 14,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089 : 30,126.30 = 9,557.32 : x
  2. Step 2: Convert to fraction form
    20,089/30,126.30 = 9,557.32/x
  3. Step 3: Cross multiply
    20,089x = 30,126.30 × 9,557.32
  4. Step 4: Simplify right side
    20,089x = 287,926,689.52
  5. Step 5: Solve for x
    x = 287,926,689.52/20,089
  6. Step 6: Final answer
    x = 14,332.55

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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.