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Finding the Fourth Proportional to 28,038.76, 38,693.50 and 15,464.32

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Solution

The fourth proportional to 28,038.76, 38,693.50 and 15,464.32 is: 21,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038.76 : 38,693.50 = 15,464.32 : x
  2. Step 2: Convert to fraction form
    28,038.76/38,693.50 = 15,464.32/x
  3. Step 3: Cross multiply
    28,038.76x = 38,693.50 × 15,464.32
  4. Step 4: Simplify right side
    28,038.76x = 598,368,665.92
  5. Step 5: Solve for x
    x = 598,368,665.92/28,038.76
  6. Step 6: Final answer
    x = 21,340.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.