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Finding the Fourth Proportional to 21,818.16, 32,708.16 and 7,776

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Solution

The fourth proportional to 21,818.16, 32,708.16 and 7,776 is: 11,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.16 : 32,708.16 = 7,776 : x
  2. Step 2: Convert to fraction form
    21,818.16/32,708.16 = 7,776/x
  3. Step 3: Cross multiply
    21,818.16x = 32,708.16 × 7,776
  4. Step 4: Simplify right side
    21,818.16x = 254,338,652.16
  5. Step 5: Solve for x
    x = 254,338,652.16/21,818.16
  6. Step 6: Final answer
    x = 11,657.20

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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.