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Finding the Fourth Proportional to 24,719.88, 34,113.47 and 13,389.40

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Solution

The fourth proportional to 24,719.88, 34,113.47 and 13,389.40 is: 18,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.88 : 34,113.47 = 13,389.40 : x
  2. Step 2: Convert to fraction form
    24,719.88/34,113.47 = 13,389.40/x
  3. Step 3: Cross multiply
    24,719.88x = 34,113.47 × 13,389.40
  4. Step 4: Simplify right side
    24,719.88x = 456,758,946.23
  5. Step 5: Solve for x
    x = 456,758,946.23/24,719.88
  6. Step 6: Final answer
    x = 18,477.39

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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.