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Finding the Fourth Proportional to 24,700.47, 36,985.10 and 19,309.92

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Solution

The fourth proportional to 24,700.47, 36,985.10 and 19,309.92 is: 28,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.47 : 36,985.10 = 19,309.92 : x
  2. Step 2: Convert to fraction form
    24,700.47/36,985.10 = 19,309.92/x
  3. Step 3: Cross multiply
    24,700.47x = 36,985.10 × 19,309.92
  4. Step 4: Simplify right side
    24,700.47x = 714,179,225.64
  5. Step 5: Solve for x
    x = 714,179,225.64/24,700.47
  6. Step 6: Final answer
    x = 28,913.59

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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.