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Finding the Fourth Proportional to 25,374.60, 38,038.86 and 9,803.88

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Solution

The fourth proportional to 25,374.60, 38,038.86 and 9,803.88 is: 14,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374.60 : 38,038.86 = 9,803.88 : x
  2. Step 2: Convert to fraction form
    25,374.60/38,038.86 = 9,803.88/x
  3. Step 3: Cross multiply
    25,374.60x = 38,038.86 × 9,803.88
  4. Step 4: Simplify right side
    25,374.60x = 372,928,418.78
  5. Step 5: Solve for x
    x = 372,928,418.78/25,374.60
  6. Step 6: Final answer
    x = 14,696.92

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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.