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Finding the Fourth Proportional to 12,315.24, 18,472.86 and 9,865.50

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Solution

The fourth proportional to 12,315.24, 18,472.86 and 9,865.50 is: 14,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.24 : 18,472.86 = 9,865.50 : x
  2. Step 2: Convert to fraction form
    12,315.24/18,472.86 = 9,865.50/x
  3. Step 3: Cross multiply
    12,315.24x = 18,472.86 × 9,865.50
  4. Step 4: Simplify right side
    12,315.24x = 182,243,931.06
  5. Step 5: Solve for x
    x = 182,243,931.06/12,315.24
  6. Step 6: Final answer
    x = 14,798.24

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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.