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Finding the Fourth Proportional to 16,148.16, 22,281.89 and 9,773.66

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Solution

The fourth proportional to 16,148.16, 22,281.89 and 9,773.66 is: 13,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.16 : 22,281.89 = 9,773.66 : x
  2. Step 2: Convert to fraction form
    16,148.16/22,281.89 = 9,773.66/x
  3. Step 3: Cross multiply
    16,148.16x = 22,281.89 × 9,773.66
  4. Step 4: Simplify right side
    16,148.16x = 217,775,623.85
  5. Step 5: Solve for x
    x = 217,775,623.85/16,148.16
  6. Step 6: Final answer
    x = 13,486.10

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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.