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Finding the Fourth Proportional to 24,750.64, 37,127.58 and 7,219

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Solution

The fourth proportional to 24,750.64, 37,127.58 and 7,219 is: 10,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.64 : 37,127.58 = 7,219 : x
  2. Step 2: Convert to fraction form
    24,750.64/37,127.58 = 7,219/x
  3. Step 3: Cross multiply
    24,750.64x = 37,127.58 × 7,219
  4. Step 4: Simplify right side
    24,750.64x = 268,024,000.02
  5. Step 5: Solve for x
    x = 268,024,000.02/24,750.64
  6. Step 6: Final answer
    x = 10,828.97

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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.