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Finding the Fourth Proportional to 15,754.16, 23,626.92 and 4,657.52

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Solution

The fourth proportional to 15,754.16, 23,626.92 and 4,657.52 is: 6,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.16 : 23,626.92 = 4,657.52 : x
  2. Step 2: Convert to fraction form
    15,754.16/23,626.92 = 4,657.52/x
  3. Step 3: Cross multiply
    15,754.16x = 23,626.92 × 4,657.52
  4. Step 4: Simplify right side
    15,754.16x = 110,042,852.44
  5. Step 5: Solve for x
    x = 110,042,852.44/15,754.16
  6. Step 6: Final answer
    x = 6,985.00

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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.