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Finding the Fourth Proportional to 27,038.14, 40,557.33 and 17,737.06

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Solution

The fourth proportional to 27,038.14, 40,557.33 and 17,737.06 is: 26,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.14 : 40,557.33 = 17,737.06 : x
  2. Step 2: Convert to fraction form
    27,038.14/40,557.33 = 17,737.06/x
  3. Step 3: Cross multiply
    27,038.14x = 40,557.33 × 17,737.06
  4. Step 4: Simplify right side
    27,038.14x = 719,367,795.65
  5. Step 5: Solve for x
    x = 719,367,795.65/27,038.14
  6. Step 6: Final answer
    x = 26,605.67

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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.