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Finding the Fourth Proportional to 17,862.49, 24,650.54 and 9,905.05

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Solution

The fourth proportional to 17,862.49, 24,650.54 and 9,905.05 is: 13,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.49 : 24,650.54 = 9,905.05 : x
  2. Step 2: Convert to fraction form
    17,862.49/24,650.54 = 9,905.05/x
  3. Step 3: Cross multiply
    17,862.49x = 24,650.54 × 9,905.05
  4. Step 4: Simplify right side
    17,862.49x = 244,164,831.23
  5. Step 5: Solve for x
    x = 244,164,831.23/17,862.49
  6. Step 6: Final answer
    x = 13,669.14

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1.5x scale

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.