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Finding the Fourth Proportional to 24,117.32, 33,282 and 14,052.67

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Solution

The fourth proportional to 24,117.32, 33,282 and 14,052.67 is: 19,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.32 : 33,282 = 14,052.67 : x
  2. Step 2: Convert to fraction form
    24,117.32/33,282 = 14,052.67/x
  3. Step 3: Cross multiply
    24,117.32x = 33,282 × 14,052.67
  4. Step 4: Simplify right side
    24,117.32x = 467,700,879.74
  5. Step 5: Solve for x
    x = 467,700,879.74/24,117.32
  6. Step 6: Final answer
    x = 19,392.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.