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Finding the Fourth Proportional to 24,952, 37,434.16 and 7,421.76

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Solution

The fourth proportional to 24,952, 37,434.16 and 7,421.76 is: 11,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 37,434.16 = 7,421.76 : x
  2. Step 2: Convert to fraction form
    24,952/37,434.16 = 7,421.76/x
  3. Step 3: Cross multiply
    24,952x = 37,434.16 × 7,421.76
  4. Step 4: Simplify right side
    24,952x = 277,827,351.32
  5. Step 5: Solve for x
    x = 277,827,351.32/24,952
  6. Step 6: Final answer
    x = 11,134.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.