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Finding the Fourth Proportional to 17,658.12, 24,368.28 and 9,700.14

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Solution

The fourth proportional to 17,658.12, 24,368.28 and 9,700.14 is: 13,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.12 : 24,368.28 = 9,700.14 : x
  2. Step 2: Convert to fraction form
    17,658.12/24,368.28 = 9,700.14/x
  3. Step 3: Cross multiply
    17,658.12x = 24,368.28 × 9,700.14
  4. Step 4: Simplify right side
    17,658.12x = 236,375,727.56
  5. Step 5: Solve for x
    x = 236,375,727.56/17,658.12
  6. Step 6: Final answer
    x = 13,386.23

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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.