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Finding the Fourth Proportional to 24,952.32, 34,434.08 and 13,774.24

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Solution

The fourth proportional to 24,952.32, 34,434.08 and 13,774.24 is: 19,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952.32 : 34,434.08 = 13,774.24 : x
  2. Step 2: Convert to fraction form
    24,952.32/34,434.08 = 13,774.24/x
  3. Step 3: Cross multiply
    24,952.32x = 34,434.08 × 13,774.24
  4. Step 4: Simplify right side
    24,952.32x = 474,303,282.10
  5. Step 5: Solve for x
    x = 474,303,282.10/24,952.32
  6. Step 6: Final answer
    x = 19,008.38

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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.