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Finding the Fourth Proportional to 12,700.14, 19,062.50 and 6,130.95

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Solution

The fourth proportional to 12,700.14, 19,062.50 and 6,130.95 is: 9,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.14 : 19,062.50 = 6,130.95 : x
  2. Step 2: Convert to fraction form
    12,700.14/19,062.50 = 6,130.95/x
  3. Step 3: Cross multiply
    12,700.14x = 19,062.50 × 6,130.95
  4. Step 4: Simplify right side
    12,700.14x = 116,871,234.38
  5. Step 5: Solve for x
    x = 116,871,234.38/12,700.14
  6. Step 6: Final answer
    x = 9,202.36

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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.