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Finding the Fourth Proportional to 15,746.60, 23,614.30 and 6,965.80

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Solution

The fourth proportional to 15,746.60, 23,614.30 and 6,965.80 is: 10,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.60 : 23,614.30 = 6,965.80 : x
  2. Step 2: Convert to fraction form
    15,746.60/23,614.30 = 6,965.80/x
  3. Step 3: Cross multiply
    15,746.60x = 23,614.30 × 6,965.80
  4. Step 4: Simplify right side
    15,746.60x = 164,492,490.94
  5. Step 5: Solve for x
    x = 164,492,490.94/15,746.60
  6. Step 6: Final answer
    x = 10,446.22

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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.