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Finding the Fourth Proportional to 15,312.71, 22,969.53 and 4,219.58

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Solution

The fourth proportional to 15,312.71, 22,969.53 and 4,219.58 is: 6,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.71 : 22,969.53 = 4,219.58 : x
  2. Step 2: Convert to fraction form
    15,312.71/22,969.53 = 4,219.58/x
  3. Step 3: Cross multiply
    15,312.71x = 22,969.53 × 4,219.58
  4. Step 4: Simplify right side
    15,312.71x = 96,921,769.40
  5. Step 5: Solve for x
    x = 96,921,769.40/15,312.71
  6. Step 6: Final answer
    x = 6,329.50

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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.