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Finding the Fourth Proportional to 12,700.49, 19,062.42 and 6,464.95

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Solution

The fourth proportional to 12,700.49, 19,062.42 and 6,464.95 is: 9,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.49 : 19,062.42 = 6,464.95 : x
  2. Step 2: Convert to fraction form
    12,700.49/19,062.42 = 6,464.95/x
  3. Step 3: Cross multiply
    12,700.49x = 19,062.42 × 6,464.95
  4. Step 4: Simplify right side
    12,700.49x = 123,237,663.87
  5. Step 5: Solve for x
    x = 123,237,663.87/12,700.49
  6. Step 6: Final answer
    x = 9,703.38

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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.