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Finding the Fourth Proportional to 22,746.42, 34,124.62 and 6,952.76

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Solution

The fourth proportional to 22,746.42, 34,124.62 and 6,952.76 is: 10,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.42 : 34,124.62 = 6,952.76 : x
  2. Step 2: Convert to fraction form
    22,746.42/34,124.62 = 6,952.76/x
  3. Step 3: Cross multiply
    22,746.42x = 34,124.62 × 6,952.76
  4. Step 4: Simplify right side
    22,746.42x = 237,260,292.95
  5. Step 5: Solve for x
    x = 237,260,292.95/22,746.42
  6. Step 6: Final answer
    x = 10,430.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.