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Finding the Fourth Proportional to 24,573.84, 36,862.44 and 7,043.28

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Solution

The fourth proportional to 24,573.84, 36,862.44 and 7,043.28 is: 10,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.84 : 36,862.44 = 7,043.28 : x
  2. Step 2: Convert to fraction form
    24,573.84/36,862.44 = 7,043.28/x
  3. Step 3: Cross multiply
    24,573.84x = 36,862.44 × 7,043.28
  4. Step 4: Simplify right side
    24,573.84x = 259,632,486.40
  5. Step 5: Solve for x
    x = 259,632,486.40/24,573.84
  6. Step 6: Final answer
    x = 10,565.40

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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.