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Finding the Fourth Proportional to 12,952.55, 19,415.75 and 5,050.13

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Solution

The fourth proportional to 12,952.55, 19,415.75 and 5,050.13 is: 7,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.55 : 19,415.75 = 5,050.13 : x
  2. Step 2: Convert to fraction form
    12,952.55/19,415.75 = 5,050.13/x
  3. Step 3: Cross multiply
    12,952.55x = 19,415.75 × 5,050.13
  4. Step 4: Simplify right side
    12,952.55x = 98,051,939.22
  5. Step 5: Solve for x
    x = 98,051,939.22/12,952.55
  6. Step 6: Final answer
    x = 7,570.09

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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.