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Finding the Fourth Proportional to 16,017.84, 24,009.75 and 9,447.12

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Solution

The fourth proportional to 16,017.84, 24,009.75 and 9,447.12 is: 14,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.84 : 24,009.75 = 9,447.12 : x
  2. Step 2: Convert to fraction form
    16,017.84/24,009.75 = 9,447.12/x
  3. Step 3: Cross multiply
    16,017.84x = 24,009.75 × 9,447.12
  4. Step 4: Simplify right side
    16,017.84x = 226,822,989.42
  5. Step 5: Solve for x
    x = 226,822,989.42/16,017.84
  6. Step 6: Final answer
    x = 14,160.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.