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Finding the Fourth Proportional to 16,419.78, 22,661.16 and 9,152.58

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Solution

The fourth proportional to 16,419.78, 22,661.16 and 9,152.58 is: 12,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.78 : 22,661.16 = 9,152.58 : x
  2. Step 2: Convert to fraction form
    16,419.78/22,661.16 = 9,152.58/x
  3. Step 3: Cross multiply
    16,419.78x = 22,661.16 × 9,152.58
  4. Step 4: Simplify right side
    16,419.78x = 207,408,079.79
  5. Step 5: Solve for x
    x = 207,408,079.79/16,419.78
  6. Step 6: Final answer
    x = 12,631.60

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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.