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Finding the Fourth Proportional to 24,963, 34,448.97 and 13,785

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Solution

The fourth proportional to 24,963, 34,448.97 and 13,785 is: 19,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,963 : 34,448.97 = 13,785 : x
  2. Step 2: Convert to fraction form
    24,963/34,448.97 = 13,785/x
  3. Step 3: Cross multiply
    24,963x = 34,448.97 × 13,785
  4. Step 4: Simplify right side
    24,963x = 474,879,051.45
  5. Step 5: Solve for x
    x = 474,879,051.45/24,963
  6. Step 6: Final answer
    x = 19,023.32

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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.