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Finding the Fourth Proportional to 16,132.86, 22,270.40 and 9,415.93

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Solution

The fourth proportional to 16,132.86, 22,270.40 and 9,415.93 is: 12,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.86 : 22,270.40 = 9,415.93 : x
  2. Step 2: Convert to fraction form
    16,132.86/22,270.40 = 9,415.93/x
  3. Step 3: Cross multiply
    16,132.86x = 22,270.40 × 9,415.93
  4. Step 4: Simplify right side
    16,132.86x = 209,696,527.47
  5. Step 5: Solve for x
    x = 209,696,527.47/16,132.86
  6. Step 6: Final answer
    x = 12,998.10

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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.