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Finding the Fourth Proportional to 24,681.84, 37,015.08 and 8,262

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Solution

The fourth proportional to 24,681.84, 37,015.08 and 8,262 is: 12,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,681.84 : 37,015.08 = 8,262 : x
  2. Step 2: Convert to fraction form
    24,681.84/37,015.08 = 8,262/x
  3. Step 3: Cross multiply
    24,681.84x = 37,015.08 × 8,262
  4. Step 4: Simplify right side
    24,681.84x = 305,818,590.96
  5. Step 5: Solve for x
    x = 305,818,590.96/24,681.84
  6. Step 6: Final answer
    x = 12,390.43

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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.