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Finding the Fourth Proportional to 23,114.40, 31,897.84 and 13,042.84

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Solution

The fourth proportional to 23,114.40, 31,897.84 and 13,042.84 is: 17,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.40 : 31,897.84 = 13,042.84 : x
  2. Step 2: Convert to fraction form
    23,114.40/31,897.84 = 13,042.84/x
  3. Step 3: Cross multiply
    23,114.40x = 31,897.84 × 13,042.84
  4. Step 4: Simplify right side
    23,114.40x = 416,038,423.47
  5. Step 5: Solve for x
    x = 416,038,423.47/23,114.40
  6. Step 6: Final answer
    x = 17,999.10

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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.