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Finding the Fourth Proportional to 19,710.19, 29,577.57 and 8,023.38

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Solution

The fourth proportional to 19,710.19, 29,577.57 and 8,023.38 is: 12,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.19 : 29,577.57 = 8,023.38 : x
  2. Step 2: Convert to fraction form
    19,710.19/29,577.57 = 8,023.38/x
  3. Step 3: Cross multiply
    19,710.19x = 29,577.57 × 8,023.38
  4. Step 4: Simplify right side
    19,710.19x = 237,312,083.59
  5. Step 5: Solve for x
    x = 237,312,083.59/19,710.19
  6. Step 6: Final answer
    x = 12,040.07

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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.