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Finding the Fourth Proportional to 15,085.50, 20,818.23 and 8,461.50

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Solution

The fourth proportional to 15,085.50, 20,818.23 and 8,461.50 is: 11,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.50 : 20,818.23 = 8,461.50 : x
  2. Step 2: Convert to fraction form
    15,085.50/20,818.23 = 8,461.50/x
  3. Step 3: Cross multiply
    15,085.50x = 20,818.23 × 8,461.50
  4. Step 4: Simplify right side
    15,085.50x = 176,153,453.15
  5. Step 5: Solve for x
    x = 176,153,453.15/15,085.50
  6. Step 6: Final answer
    x = 11,677.00

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1.5x scale

Why These Related Problems?

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