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Finding the Fourth Proportional to 24,952, 34,433.76 and 13,774.08

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Solution

The fourth proportional to 24,952, 34,433.76 and 13,774.08 is: 19,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 34,433.76 = 13,774.08 : x
  2. Step 2: Convert to fraction form
    24,952/34,433.76 = 13,774.08/x
  3. Step 3: Cross multiply
    24,952x = 34,433.76 × 13,774.08
  4. Step 4: Simplify right side
    24,952x = 474,293,364.94
  5. Step 5: Solve for x
    x = 474,293,364.94/24,952
  6. Step 6: Final answer
    x = 19,008.23

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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.