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Finding the Fourth Proportional to 15,420.70, 23,102.70 and 8,827.30

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Solution

The fourth proportional to 15,420.70, 23,102.70 and 8,827.30 is: 13,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.70 : 23,102.70 = 8,827.30 : x
  2. Step 2: Convert to fraction form
    15,420.70/23,102.70 = 8,827.30/x
  3. Step 3: Cross multiply
    15,420.70x = 23,102.70 × 8,827.30
  4. Step 4: Simplify right side
    15,420.70x = 203,934,463.71
  5. Step 5: Solve for x
    x = 203,934,463.71/15,420.70
  6. Step 6: Final answer
    x = 13,224.72

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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.