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Finding the Fourth Proportional to 19,677.34, 29,509.65 and 6,526.18

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Solution

The fourth proportional to 19,677.34, 29,509.65 and 6,526.18 is: 9,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.34 : 29,509.65 = 6,526.18 : x
  2. Step 2: Convert to fraction form
    19,677.34/29,509.65 = 6,526.18/x
  3. Step 3: Cross multiply
    19,677.34x = 29,509.65 × 6,526.18
  4. Step 4: Simplify right side
    19,677.34x = 192,585,287.64
  5. Step 5: Solve for x
    x = 192,585,287.64/19,677.34
  6. Step 6: Final answer
    x = 9,787.16

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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.