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Finding the Fourth Proportional to 20,127.84, 30,188.16 and 9,032.64

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Solution

The fourth proportional to 20,127.84, 30,188.16 and 9,032.64 is: 13,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.84 : 30,188.16 = 9,032.64 : x
  2. Step 2: Convert to fraction form
    20,127.84/30,188.16 = 9,032.64/x
  3. Step 3: Cross multiply
    20,127.84x = 30,188.16 × 9,032.64
  4. Step 4: Simplify right side
    20,127.84x = 272,678,781.54
  5. Step 5: Solve for x
    x = 272,678,781.54/20,127.84
  6. Step 6: Final answer
    x = 13,547.34

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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.