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Finding the Fourth Proportional to 19,686.16, 29,522.86 and 6,535

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Solution

The fourth proportional to 19,686.16, 29,522.86 and 6,535 is: 9,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.16 : 29,522.86 = 6,535 : x
  2. Step 2: Convert to fraction form
    19,686.16/29,522.86 = 6,535/x
  3. Step 3: Cross multiply
    19,686.16x = 29,522.86 × 6,535
  4. Step 4: Simplify right side
    19,686.16x = 192,931,890.10
  5. Step 5: Solve for x
    x = 192,931,890.10/19,686.16
  6. Step 6: Final answer
    x = 9,800.38

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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.