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Finding the Fourth Proportional to 24,534.63, 36,802.55 and 8,952.25

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Solution

The fourth proportional to 24,534.63, 36,802.55 and 8,952.25 is: 13,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.63 : 36,802.55 = 8,952.25 : x
  2. Step 2: Convert to fraction form
    24,534.63/36,802.55 = 8,952.25/x
  3. Step 3: Cross multiply
    24,534.63x = 36,802.55 × 8,952.25
  4. Step 4: Simplify right side
    24,534.63x = 329,465,583.48
  5. Step 5: Solve for x
    x = 329,465,583.48/24,534.63
  6. Step 6: Final answer
    x = 13,428.60

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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.