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Finding the Fourth Proportional to 15,657.16, 23,485.58 and 4,713.16

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Solution

The fourth proportional to 15,657.16, 23,485.58 and 4,713.16 is: 7,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.16 : 23,485.58 = 4,713.16 : x
  2. Step 2: Convert to fraction form
    15,657.16/23,485.58 = 4,713.16/x
  3. Step 3: Cross multiply
    15,657.16x = 23,485.58 × 4,713.16
  4. Step 4: Simplify right side
    15,657.16x = 110,691,296.23
  5. Step 5: Solve for x
    x = 110,691,296.23/15,657.16
  6. Step 6: Final answer
    x = 7,069.69

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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.