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Finding the Fourth Proportional to 15,825.30, 21,838.86 and 8,751.57

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Solution

The fourth proportional to 15,825.30, 21,838.86 and 8,751.57 is: 12,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.30 : 21,838.86 = 8,751.57 : x
  2. Step 2: Convert to fraction form
    15,825.30/21,838.86 = 8,751.57/x
  3. Step 3: Cross multiply
    15,825.30x = 21,838.86 × 8,751.57
  4. Step 4: Simplify right side
    15,825.30x = 191,124,312.01
  5. Step 5: Solve for x
    x = 191,124,312.01/15,825.30
  6. Step 6: Final answer
    x = 12,077.14

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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.