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Finding the Fourth Proportional to 13,014.95, 17,960.58 and 7,046.72

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Solution

The fourth proportional to 13,014.95, 17,960.58 and 7,046.72 is: 9,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.95 : 17,960.58 = 7,046.72 : x
  2. Step 2: Convert to fraction form
    13,014.95/17,960.58 = 7,046.72/x
  3. Step 3: Cross multiply
    13,014.95x = 17,960.58 × 7,046.72
  4. Step 4: Simplify right side
    13,014.95x = 126,563,178.30
  5. Step 5: Solve for x
    x = 126,563,178.30/13,014.95
  6. Step 6: Final answer
    x = 9,724.45

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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.