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Finding the Fourth Proportional to 15,224.61, 22,851.15 and 7,733.53

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Solution

The fourth proportional to 15,224.61, 22,851.15 and 7,733.53 is: 11,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.61 : 22,851.15 = 7,733.53 : x
  2. Step 2: Convert to fraction form
    15,224.61/22,851.15 = 7,733.53/x
  3. Step 3: Cross multiply
    15,224.61x = 22,851.15 × 7,733.53
  4. Step 4: Simplify right side
    15,224.61x = 176,720,054.06
  5. Step 5: Solve for x
    x = 176,720,054.06/15,224.61
  6. Step 6: Final answer
    x = 11,607.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.