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Finding the Fourth Proportional to 15,482.68, 23,182.92 and 8,085.16

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Solution

The fourth proportional to 15,482.68, 23,182.92 and 8,085.16 is: 12,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.68 : 23,182.92 = 8,085.16 : x
  2. Step 2: Convert to fraction form
    15,482.68/23,182.92 = 8,085.16/x
  3. Step 3: Cross multiply
    15,482.68x = 23,182.92 × 8,085.16
  4. Step 4: Simplify right side
    15,482.68x = 187,437,617.47
  5. Step 5: Solve for x
    x = 187,437,617.47/15,482.68
  6. Step 6: Final answer
    x = 12,106.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.