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Finding the Fourth Proportional to 15,822.59, 23,710.41 and 6,451.16

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Solution

The fourth proportional to 15,822.59, 23,710.41 and 6,451.16 is: 9,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.59 : 23,710.41 = 6,451.16 : x
  2. Step 2: Convert to fraction form
    15,822.59/23,710.41 = 6,451.16/x
  3. Step 3: Cross multiply
    15,822.59x = 23,710.41 × 6,451.16
  4. Step 4: Simplify right side
    15,822.59x = 152,959,530.02
  5. Step 5: Solve for x
    x = 152,959,530.02/15,822.59
  6. Step 6: Final answer
    x = 9,667.16

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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.