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Finding the Fourth Proportional to 16,560, 22,853.16 and 9,108

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Solution

The fourth proportional to 16,560, 22,853.16 and 9,108 is: 12,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560 : 22,853.16 = 9,108 : x
  2. Step 2: Convert to fraction form
    16,560/22,853.16 = 9,108/x
  3. Step 3: Cross multiply
    16,560x = 22,853.16 × 9,108
  4. Step 4: Simplify right side
    16,560x = 208,146,581.28
  5. Step 5: Solve for x
    x = 208,146,581.28/16,560
  6. Step 6: Final answer
    x = 12,569.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.