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Finding the Fourth Proportional to 19,677.30, 29,524.67 and 10,315.08

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Solution

The fourth proportional to 19,677.30, 29,524.67 and 10,315.08 is: 15,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.30 : 29,524.67 = 10,315.08 : x
  2. Step 2: Convert to fraction form
    19,677.30/29,524.67 = 10,315.08/x
  3. Step 3: Cross multiply
    19,677.30x = 29,524.67 × 10,315.08
  4. Step 4: Simplify right side
    19,677.30x = 304,549,207.64
  5. Step 5: Solve for x
    x = 304,549,207.64/19,677.30
  6. Step 6: Final answer
    x = 15,477.19

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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.