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Finding the Fourth Proportional to 17,859.53, 24,646.04 and 9,901.76

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Solution

The fourth proportional to 17,859.53, 24,646.04 and 9,901.76 is: 13,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.53 : 24,646.04 = 9,901.76 : x
  2. Step 2: Convert to fraction form
    17,859.53/24,646.04 = 9,901.76/x
  3. Step 3: Cross multiply
    17,859.53x = 24,646.04 × 9,901.76
  4. Step 4: Simplify right side
    17,859.53x = 244,039,037.42
  5. Step 5: Solve for x
    x = 244,039,037.42/17,859.53
  6. Step 6: Final answer
    x = 13,664.36

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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.