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Finding the Fourth Proportional to 15,702.60, 23,551.44 and 10,194.99

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Solution

The fourth proportional to 15,702.60, 23,551.44 and 10,194.99 is: 15,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.60 : 23,551.44 = 10,194.99 : x
  2. Step 2: Convert to fraction form
    15,702.60/23,551.44 = 10,194.99/x
  3. Step 3: Cross multiply
    15,702.60x = 23,551.44 × 10,194.99
  4. Step 4: Simplify right side
    15,702.60x = 240,106,695.29
  5. Step 5: Solve for x
    x = 240,106,695.29/15,702.60
  6. Step 6: Final answer
    x = 15,290.89

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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.