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Finding the Fourth Proportional to 27,810.77, 38,378.90 and 15,235.25

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Solution

The fourth proportional to 27,810.77, 38,378.90 and 15,235.25 is: 21,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.77 : 38,378.90 = 15,235.25 : x
  2. Step 2: Convert to fraction form
    27,810.77/38,378.90 = 15,235.25/x
  3. Step 3: Cross multiply
    27,810.77x = 38,378.90 × 15,235.25
  4. Step 4: Simplify right side
    27,810.77x = 584,712,060.05
  5. Step 5: Solve for x
    x = 584,712,060.05/27,810.77
  6. Step 6: Final answer
    x = 21,024.66

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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.