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Finding the Fourth Proportional to 23,658.78, 32,649.18 and 13,048.14

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Solution

The fourth proportional to 23,658.78, 32,649.18 and 13,048.14 is: 18,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.78 : 32,649.18 = 13,048.14 : x
  2. Step 2: Convert to fraction form
    23,658.78/32,649.18 = 13,048.14/x
  3. Step 3: Cross multiply
    23,658.78x = 32,649.18 × 13,048.14
  4. Step 4: Simplify right side
    23,658.78x = 426,011,071.53
  5. Step 5: Solve for x
    x = 426,011,071.53/23,658.78
  6. Step 6: Final answer
    x = 18,006.47

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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.