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Finding the Fourth Proportional to 15,165.71, 22,830.47 and 13,639.89

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Solution

The fourth proportional to 15,165.71, 22,830.47 and 13,639.89 is: 20,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.71 : 22,830.47 = 13,639.89 : x
  2. Step 2: Convert to fraction form
    15,165.71/22,830.47 = 13,639.89/x
  3. Step 3: Cross multiply
    15,165.71x = 22,830.47 × 13,639.89
  4. Step 4: Simplify right side
    15,165.71x = 311,405,129.65
  5. Step 5: Solve for x
    x = 311,405,129.65/15,165.71
  6. Step 6: Final answer
    x = 20,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.