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Finding the Fourth Proportional to 22,920.22, 34,374.76 and 9,586

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Solution

The fourth proportional to 22,920.22, 34,374.76 and 9,586 is: 14,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920.22 : 34,374.76 = 9,586 : x
  2. Step 2: Convert to fraction form
    22,920.22/34,374.76 = 9,586/x
  3. Step 3: Cross multiply
    22,920.22x = 34,374.76 × 9,586
  4. Step 4: Simplify right side
    22,920.22x = 329,516,449.36
  5. Step 5: Solve for x
    x = 329,516,449.36/22,920.22
  6. Step 6: Final answer
    x = 14,376.67

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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.