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Finding the Fourth Proportional to 19,677.96, 29,510.53 and 6,526.80

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Solution

The fourth proportional to 19,677.96, 29,510.53 and 6,526.80 is: 9,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.96 : 29,510.53 = 6,526.80 : x
  2. Step 2: Convert to fraction form
    19,677.96/29,510.53 = 6,526.80/x
  3. Step 3: Cross multiply
    19,677.96x = 29,510.53 × 6,526.80
  4. Step 4: Simplify right side
    19,677.96x = 192,609,327.20
  5. Step 5: Solve for x
    x = 192,609,327.20/19,677.96
  6. Step 6: Final answer
    x = 9,788.07

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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.