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Finding the Fourth Proportional to 12,547.53, 17,337.09 and 12,098.50

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Solution

The fourth proportional to 12,547.53, 17,337.09 and 12,098.50 is: 16,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.53 : 17,337.09 = 12,098.50 : x
  2. Step 2: Convert to fraction form
    12,547.53/17,337.09 = 12,098.50/x
  3. Step 3: Cross multiply
    12,547.53x = 17,337.09 × 12,098.50
  4. Step 4: Simplify right side
    12,547.53x = 209,752,783.37
  5. Step 5: Solve for x
    x = 209,752,783.37/12,547.53
  6. Step 6: Final answer
    x = 16,716.66

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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.