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Finding the Fourth Proportional to 26,510.25, 36,585 and 14,574.45

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Solution

The fourth proportional to 26,510.25, 36,585 and 14,574.45 is: 20,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,510.25 : 36,585 = 14,574.45 : x
  2. Step 2: Convert to fraction form
    26,510.25/36,585 = 14,574.45/x
  3. Step 3: Cross multiply
    26,510.25x = 36,585 × 14,574.45
  4. Step 4: Simplify right side
    26,510.25x = 533,206,253.25
  5. Step 5: Solve for x
    x = 533,206,253.25/26,510.25
  6. Step 6: Final answer
    x = 20,113.21

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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.