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Finding the Fourth Proportional to 15,823.23, 21,836.49 and 8,750.10

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Solution

The fourth proportional to 15,823.23, 21,836.49 and 8,750.10 is: 12,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.23 : 21,836.49 = 8,750.10 : x
  2. Step 2: Convert to fraction form
    15,823.23/21,836.49 = 8,750.10/x
  3. Step 3: Cross multiply
    15,823.23x = 21,836.49 × 8,750.10
  4. Step 4: Simplify right side
    15,823.23x = 191,071,471.15
  5. Step 5: Solve for x
    x = 191,071,471.15/15,823.23
  6. Step 6: Final answer
    x = 12,075.38

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Why These Related Problems?

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