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Finding the Fourth Proportional to 16,560.14, 22,852.98 and 9,108.14

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Solution

The fourth proportional to 16,560.14, 22,852.98 and 9,108.14 is: 12,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560.14 : 22,852.98 = 9,108.14 : x
  2. Step 2: Convert to fraction form
    16,560.14/22,852.98 = 9,108.14/x
  3. Step 3: Cross multiply
    16,560.14x = 22,852.98 × 9,108.14
  4. Step 4: Simplify right side
    16,560.14x = 208,148,141.26
  5. Step 5: Solve for x
    x = 208,148,141.26/16,560.14
  6. Step 6: Final answer
    x = 12,569.23

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1.5x scale

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.