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Finding the Fourth Proportional to 15,840.20, 23,711.70 and 14,965.40

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Solution

The fourth proportional to 15,840.20, 23,711.70 and 14,965.40 is: 22,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.20 : 23,711.70 = 14,965.40 : x
  2. Step 2: Convert to fraction form
    15,840.20/23,711.70 = 14,965.40/x
  3. Step 3: Cross multiply
    15,840.20x = 23,711.70 × 14,965.40
  4. Step 4: Simplify right side
    15,840.20x = 354,855,075.18
  5. Step 5: Solve for x
    x = 354,855,075.18/15,840.20
  6. Step 6: Final answer
    x = 22,402.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.