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Finding the Fourth Proportional to 24,274, 36,417.40 and 7,859.28

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Solution

The fourth proportional to 24,274, 36,417.40 and 7,859.28 is: 11,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274 : 36,417.40 = 7,859.28 : x
  2. Step 2: Convert to fraction form
    24,274/36,417.40 = 7,859.28/x
  3. Step 3: Cross multiply
    24,274x = 36,417.40 × 7,859.28
  4. Step 4: Simplify right side
    24,274x = 286,214,543.47
  5. Step 5: Solve for x
    x = 286,214,543.47/24,274
  6. Step 6: Final answer
    x = 11,790.99

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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.