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Finding the Fourth Proportional to 19,685.16, 29,521.36 and 6,534

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Solution

The fourth proportional to 19,685.16, 29,521.36 and 6,534 is: 9,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.16 : 29,521.36 = 6,534 : x
  2. Step 2: Convert to fraction form
    19,685.16/29,521.36 = 6,534/x
  3. Step 3: Cross multiply
    19,685.16x = 29,521.36 × 6,534
  4. Step 4: Simplify right side
    19,685.16x = 192,892,574.41
  5. Step 5: Solve for x
    x = 192,892,574.41/19,685.16
  6. Step 6: Final answer
    x = 9,798.88

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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.