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Finding the Fourth Proportional to 16,436.48, 22,681.92 and 8,984

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Solution

The fourth proportional to 16,436.48, 22,681.92 and 8,984 is: 12,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.48 : 22,681.92 = 8,984 : x
  2. Step 2: Convert to fraction form
    16,436.48/22,681.92 = 8,984/x
  3. Step 3: Cross multiply
    16,436.48x = 22,681.92 × 8,984
  4. Step 4: Simplify right side
    16,436.48x = 203,774,369.28
  5. Step 5: Solve for x
    x = 203,774,369.28/16,436.48
  6. Step 6: Final answer
    x = 12,397.69

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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.