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Finding the Fourth Proportional to 15,870.80, 23,809.82 and 5,482.52

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Solution

The fourth proportional to 15,870.80, 23,809.82 and 5,482.52 is: 8,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.80 : 23,809.82 = 5,482.52 : x
  2. Step 2: Convert to fraction form
    15,870.80/23,809.82 = 5,482.52/x
  3. Step 3: Cross multiply
    15,870.80x = 23,809.82 × 5,482.52
  4. Step 4: Simplify right side
    15,870.80x = 130,537,814.35
  5. Step 5: Solve for x
    x = 130,537,814.35/15,870.80
  6. Step 6: Final answer
    x = 8,225.03

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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.