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Finding the Fourth Proportional to 24,752, 34,157.76 and 13,574.24

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Solution

The fourth proportional to 24,752, 34,157.76 and 13,574.24 is: 18,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752 : 34,157.76 = 13,574.24 : x
  2. Step 2: Convert to fraction form
    24,752/34,157.76 = 13,574.24/x
  3. Step 3: Cross multiply
    24,752x = 34,157.76 × 13,574.24
  4. Step 4: Simplify right side
    24,752x = 463,665,632.10
  5. Step 5: Solve for x
    x = 463,665,632.10/24,752
  6. Step 6: Final answer
    x = 18,732.45

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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.