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Finding the Fourth Proportional to 16,543.84, 22,831.68 and 9,470.56

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Solution

The fourth proportional to 16,543.84, 22,831.68 and 9,470.56 is: 13,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.84 : 22,831.68 = 9,470.56 : x
  2. Step 2: Convert to fraction form
    16,543.84/22,831.68 = 9,470.56/x
  3. Step 3: Cross multiply
    16,543.84x = 22,831.68 × 9,470.56
  4. Step 4: Simplify right side
    16,543.84x = 216,228,795.34
  5. Step 5: Solve for x
    x = 216,228,795.34/16,543.84
  6. Step 6: Final answer
    x = 13,070.05

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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.