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Finding the Fourth Proportional to 19,508.14, 29,264.64 and 6,356.98

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Solution

The fourth proportional to 19,508.14, 29,264.64 and 6,356.98 is: 9,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.14 : 29,264.64 = 6,356.98 : x
  2. Step 2: Convert to fraction form
    19,508.14/29,264.64 = 6,356.98/x
  3. Step 3: Cross multiply
    19,508.14x = 29,264.64 × 6,356.98
  4. Step 4: Simplify right side
    19,508.14x = 186,034,731.19
  5. Step 5: Solve for x
    x = 186,034,731.19/19,508.14
  6. Step 6: Final answer
    x = 9,536.26

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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.