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Finding the Fourth Proportional to 16,521.12, 22,799.84 and 9,447.54

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Solution

The fourth proportional to 16,521.12, 22,799.84 and 9,447.54 is: 13,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,521.12 : 22,799.84 = 9,447.54 : x
  2. Step 2: Convert to fraction form
    16,521.12/22,799.84 = 9,447.54/x
  3. Step 3: Cross multiply
    16,521.12x = 22,799.84 × 9,447.54
  4. Step 4: Simplify right side
    16,521.12x = 215,402,400.39
  5. Step 5: Solve for x
    x = 215,402,400.39/16,521.12
  6. Step 6: Final answer
    x = 13,038.00

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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.