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Finding the Fourth Proportional to 26,516.90, 36,592.62 and 14,417

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Solution

The fourth proportional to 26,516.90, 36,592.62 and 14,417 is: 19,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516.90 : 36,592.62 = 14,417 : x
  2. Step 2: Convert to fraction form
    26,516.90/36,592.62 = 14,417/x
  3. Step 3: Cross multiply
    26,516.90x = 36,592.62 × 14,417
  4. Step 4: Simplify right side
    26,516.90x = 527,555,802.54
  5. Step 5: Solve for x
    x = 527,555,802.54/26,516.90
  6. Step 6: Final answer
    x = 19,895.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.