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Finding the Fourth Proportional to 19,333.74, 29,000.74 and 6,854.08

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Solution

The fourth proportional to 19,333.74, 29,000.74 and 6,854.08 is: 10,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333.74 : 29,000.74 = 6,854.08 : x
  2. Step 2: Convert to fraction form
    19,333.74/29,000.74 = 6,854.08/x
  3. Step 3: Cross multiply
    19,333.74x = 29,000.74 × 6,854.08
  4. Step 4: Simplify right side
    19,333.74x = 198,773,392.02
  5. Step 5: Solve for x
    x = 198,773,392.02/19,333.74
  6. Step 6: Final answer
    x = 10,281.17

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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.