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Finding the Fourth Proportional to 17,737.53, 24,477.96 and 9,780.04

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Solution

The fourth proportional to 17,737.53, 24,477.96 and 9,780.04 is: 13,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.53 : 24,477.96 = 9,780.04 : x
  2. Step 2: Convert to fraction form
    17,737.53/24,477.96 = 9,780.04/x
  3. Step 3: Cross multiply
    17,737.53x = 24,477.96 × 9,780.04
  4. Step 4: Simplify right side
    17,737.53x = 239,395,427.92
  5. Step 5: Solve for x
    x = 239,395,427.92/17,737.53
  6. Step 6: Final answer
    x = 13,496.55

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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.