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Finding the Fourth Proportional to 12,952.14, 19,430.13 and 4,743.50

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Solution

The fourth proportional to 12,952.14, 19,430.13 and 4,743.50 is: 7,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.14 : 19,430.13 = 4,743.50 : x
  2. Step 2: Convert to fraction form
    12,952.14/19,430.13 = 4,743.50/x
  3. Step 3: Cross multiply
    12,952.14x = 19,430.13 × 4,743.50
  4. Step 4: Simplify right side
    12,952.14x = 92,166,821.66
  5. Step 5: Solve for x
    x = 92,166,821.66/12,952.14
  6. Step 6: Final answer
    x = 7,115.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.