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Finding the Fourth Proportional to 15,709.60, 23,564.40 and 6,475.60

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Solution

The fourth proportional to 15,709.60, 23,564.40 and 6,475.60 is: 9,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.60 : 23,564.40 = 6,475.60 : x
  2. Step 2: Convert to fraction form
    15,709.60/23,564.40 = 6,475.60/x
  3. Step 3: Cross multiply
    15,709.60x = 23,564.40 × 6,475.60
  4. Step 4: Simplify right side
    15,709.60x = 152,593,628.64
  5. Step 5: Solve for x
    x = 152,593,628.64/15,709.60
  6. Step 6: Final answer
    x = 9,713.40

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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.