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Finding the Fourth Proportional to 15,376.98, 23,074.24 and 6,017.76

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Solution

The fourth proportional to 15,376.98, 23,074.24 and 6,017.76 is: 9,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.98 : 23,074.24 = 6,017.76 : x
  2. Step 2: Convert to fraction form
    15,376.98/23,074.24 = 6,017.76/x
  3. Step 3: Cross multiply
    15,376.98x = 23,074.24 × 6,017.76
  4. Step 4: Simplify right side
    15,376.98x = 138,855,238.50
  5. Step 5: Solve for x
    x = 138,855,238.50/15,376.98
  6. Step 6: Final answer
    x = 9,030.07

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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.