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Finding the Fourth Proportional to 15,970.82, 22,048.56 and 9,598.95

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Solution

The fourth proportional to 15,970.82, 22,048.56 and 9,598.95 is: 13,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.82 : 22,048.56 = 9,598.95 : x
  2. Step 2: Convert to fraction form
    15,970.82/22,048.56 = 9,598.95/x
  3. Step 3: Cross multiply
    15,970.82x = 22,048.56 × 9,598.95
  4. Step 4: Simplify right side
    15,970.82x = 211,643,025.01
  5. Step 5: Solve for x
    x = 211,643,025.01/15,970.82
  6. Step 6: Final answer
    x = 13,251.86

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