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Finding the Fourth Proportional to 16,432.76, 22,678.02 and 9,722.31

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Solution

The fourth proportional to 16,432.76, 22,678.02 and 9,722.31 is: 13,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.76 : 22,678.02 = 9,722.31 : x
  2. Step 2: Convert to fraction form
    16,432.76/22,678.02 = 9,722.31/x
  3. Step 3: Cross multiply
    16,432.76x = 22,678.02 × 9,722.31
  4. Step 4: Simplify right side
    16,432.76x = 220,482,740.63
  5. Step 5: Solve for x
    x = 220,482,740.63/16,432.76
  6. Step 6: Final answer
    x = 13,417.27

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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.