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Finding the Fourth Proportional to 24,978.24, 34,467.84 and 15,547.68

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Solution

The fourth proportional to 24,978.24, 34,467.84 and 15,547.68 is: 21,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.24 : 34,467.84 = 15,547.68 : x
  2. Step 2: Convert to fraction form
    24,978.24/34,467.84 = 15,547.68/x
  3. Step 3: Cross multiply
    24,978.24x = 34,467.84 × 15,547.68
  4. Step 4: Simplify right side
    24,978.24x = 535,894,946.61
  5. Step 5: Solve for x
    x = 535,894,946.61/24,978.24
  6. Step 6: Final answer
    x = 21,454.47

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1.5x scale

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.