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Finding the Fourth Proportional to 15,705.10, 23,559.74 and 5,710.64

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Solution

The fourth proportional to 15,705.10, 23,559.74 and 5,710.64 is: 8,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.10 : 23,559.74 = 5,710.64 : x
  2. Step 2: Convert to fraction form
    15,705.10/23,559.74 = 5,710.64/x
  3. Step 3: Cross multiply
    15,705.10x = 23,559.74 × 5,710.64
  4. Step 4: Simplify right side
    15,705.10x = 134,541,193.63
  5. Step 5: Solve for x
    x = 134,541,193.63/15,705.10
  6. Step 6: Final answer
    x = 8,566.72

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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.