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Finding the Fourth Proportional to 14,204.58, 19,602.99 and 7,917

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Solution

The fourth proportional to 14,204.58, 19,602.99 and 7,917 is: 10,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.58 : 19,602.99 = 7,917 : x
  2. Step 2: Convert to fraction form
    14,204.58/19,602.99 = 7,917/x
  3. Step 3: Cross multiply
    14,204.58x = 19,602.99 × 7,917
  4. Step 4: Simplify right side
    14,204.58x = 155,196,871.83
  5. Step 5: Solve for x
    x = 155,196,871.83/14,204.58
  6. Step 6: Final answer
    x = 10,925.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.