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Finding the Fourth Proportional to 12,722.86, 17,557.59 and 7,133.50

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Solution

The fourth proportional to 12,722.86, 17,557.59 and 7,133.50 is: 9,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.86 : 17,557.59 = 7,133.50 : x
  2. Step 2: Convert to fraction form
    12,722.86/17,557.59 = 7,133.50/x
  3. Step 3: Cross multiply
    12,722.86x = 17,557.59 × 7,133.50
  4. Step 4: Simplify right side
    12,722.86x = 125,247,068.27
  5. Step 5: Solve for x
    x = 125,247,068.27/12,722.86
  6. Step 6: Final answer
    x = 9,844.25

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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.