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Finding the Fourth Proportional to 24,246, 36,374.64 and 7,605.12

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Solution

The fourth proportional to 24,246, 36,374.64 and 7,605.12 is: 11,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246 : 36,374.64 = 7,605.12 : x
  2. Step 2: Convert to fraction form
    24,246/36,374.64 = 7,605.12/x
  3. Step 3: Cross multiply
    24,246x = 36,374.64 × 7,605.12
  4. Step 4: Simplify right side
    24,246x = 276,633,502.16
  5. Step 5: Solve for x
    x = 276,633,502.16/24,246
  6. Step 6: Final answer
    x = 11,409.45

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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.