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Finding the Fourth Proportional to 15,870.40, 23,807.78 and 5,341.24

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Solution

The fourth proportional to 15,870.40, 23,807.78 and 5,341.24 is: 8,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.40 : 23,807.78 = 5,341.24 : x
  2. Step 2: Convert to fraction form
    15,870.40/23,807.78 = 5,341.24/x
  3. Step 3: Cross multiply
    15,870.40x = 23,807.78 × 5,341.24
  4. Step 4: Simplify right side
    15,870.40x = 127,163,066.85
  5. Step 5: Solve for x
    x = 127,163,066.85/15,870.40
  6. Step 6: Final answer
    x = 8,012.59

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