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Finding the Fourth Proportional to 24,902.16, 34,363.36 and 14,831.34

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Solution

The fourth proportional to 24,902.16, 34,363.36 and 14,831.34 is: 20,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.16 : 34,363.36 = 14,831.34 : x
  2. Step 2: Convert to fraction form
    24,902.16/34,363.36 = 14,831.34/x
  3. Step 3: Cross multiply
    24,902.16x = 34,363.36 × 14,831.34
  4. Step 4: Simplify right side
    24,902.16x = 509,654,675.70
  5. Step 5: Solve for x
    x = 509,654,675.70/24,902.16
  6. Step 6: Final answer
    x = 20,466.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.