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Finding the Fourth Proportional to 15,290.85, 22,946.01 and 6,971.69

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Solution

The fourth proportional to 15,290.85, 22,946.01 and 6,971.69 is: 10,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290.85 : 22,946.01 = 6,971.69 : x
  2. Step 2: Convert to fraction form
    15,290.85/22,946.01 = 6,971.69/x
  3. Step 3: Cross multiply
    15,290.85x = 22,946.01 × 6,971.69
  4. Step 4: Simplify right side
    15,290.85x = 159,972,465.92
  5. Step 5: Solve for x
    x = 159,972,465.92/15,290.85
  6. Step 6: Final answer
    x = 10,461.98

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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.