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Finding the Fourth Proportional to 15,752.86, 23,614.70 and 8,822.50

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Solution

The fourth proportional to 15,752.86, 23,614.70 and 8,822.50 is: 13,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.86 : 23,614.70 = 8,822.50 : x
  2. Step 2: Convert to fraction form
    15,752.86/23,614.70 = 8,822.50/x
  3. Step 3: Cross multiply
    15,752.86x = 23,614.70 × 8,822.50
  4. Step 4: Simplify right side
    15,752.86x = 208,340,690.75
  5. Step 5: Solve for x
    x = 208,340,690.75/15,752.86
  6. Step 6: Final answer
    x = 13,225.58

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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.