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Finding the Fourth Proportional to 15,476.61, 23,212.65 and 4,947.81

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Solution

The fourth proportional to 15,476.61, 23,212.65 and 4,947.81 is: 7,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.61 : 23,212.65 = 4,947.81 : x
  2. Step 2: Convert to fraction form
    15,476.61/23,212.65 = 4,947.81/x
  3. Step 3: Cross multiply
    15,476.61x = 23,212.65 × 4,947.81
  4. Step 4: Simplify right side
    15,476.61x = 114,851,781.80
  5. Step 5: Solve for x
    x = 114,851,781.80/15,476.61
  6. Step 6: Final answer
    x = 7,420.99

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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.