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Finding the Fourth Proportional to 21,393.16, 32,089.74 and 5,810.76

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Solution

The fourth proportional to 21,393.16, 32,089.74 and 5,810.76 is: 8,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.16 : 32,089.74 = 5,810.76 : x
  2. Step 2: Convert to fraction form
    21,393.16/32,089.74 = 5,810.76/x
  3. Step 3: Cross multiply
    21,393.16x = 32,089.74 × 5,810.76
  4. Step 4: Simplify right side
    21,393.16x = 186,465,777.60
  5. Step 5: Solve for x
    x = 186,465,777.60/21,393.16
  6. Step 6: Final answer
    x = 8,716.14

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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.