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Finding the Fourth Proportional to 25,871.24, 35,702.10 and 14,693

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Solution

The fourth proportional to 25,871.24, 35,702.10 and 14,693 is: 20,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.24 : 35,702.10 = 14,693 : x
  2. Step 2: Convert to fraction form
    25,871.24/35,702.10 = 14,693/x
  3. Step 3: Cross multiply
    25,871.24x = 35,702.10 × 14,693
  4. Step 4: Simplify right side
    25,871.24x = 524,570,955.30
  5. Step 5: Solve for x
    x = 524,570,955.30/25,871.24
  6. Step 6: Final answer
    x = 20,276.22

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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.