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Finding the Fourth Proportional to 12,188.19, 16,820 and 7,475.07

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Solution

The fourth proportional to 12,188.19, 16,820 and 7,475.07 is: 10,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.19 : 16,820 = 7,475.07 : x
  2. Step 2: Convert to fraction form
    12,188.19/16,820 = 7,475.07/x
  3. Step 3: Cross multiply
    12,188.19x = 16,820 × 7,475.07
  4. Step 4: Simplify right side
    12,188.19x = 125,730,677.40
  5. Step 5: Solve for x
    x = 125,730,677.40/12,188.19
  6. Step 6: Final answer
    x = 10,315.78

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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.