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Finding the Fourth Proportional to 24,924.66, 34,396.02 and 13,746.66

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Solution

The fourth proportional to 24,924.66, 34,396.02 and 13,746.66 is: 18,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.66 : 34,396.02 = 13,746.66 : x
  2. Step 2: Convert to fraction form
    24,924.66/34,396.02 = 13,746.66/x
  3. Step 3: Cross multiply
    24,924.66x = 34,396.02 × 13,746.66
  4. Step 4: Simplify right side
    24,924.66x = 472,830,392.29
  5. Step 5: Solve for x
    x = 472,830,392.29/24,924.66
  6. Step 6: Final answer
    x = 18,970.38

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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.