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Finding the Fourth Proportional to 24,659, 34,038.06 and 14,723

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Solution

The fourth proportional to 24,659, 34,038.06 and 14,723 is: 20,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659 : 34,038.06 = 14,723 : x
  2. Step 2: Convert to fraction form
    24,659/34,038.06 = 14,723/x
  3. Step 3: Cross multiply
    24,659x = 34,038.06 × 14,723
  4. Step 4: Simplify right side
    24,659x = 501,142,357.38
  5. Step 5: Solve for x
    x = 501,142,357.38/24,659
  6. Step 6: Final answer
    x = 20,322.90

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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.