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Finding the Fourth Proportional to 13,180.86, 18,188.82 and 7,875.63

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Solution

The fourth proportional to 13,180.86, 18,188.82 and 7,875.63 is: 10,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.86 : 18,188.82 = 7,875.63 : x
  2. Step 2: Convert to fraction form
    13,180.86/18,188.82 = 7,875.63/x
  3. Step 3: Cross multiply
    13,180.86x = 18,188.82 × 7,875.63
  4. Step 4: Simplify right side
    13,180.86x = 143,248,416.46
  5. Step 5: Solve for x
    x = 143,248,416.46/13,180.86
  6. Step 6: Final answer
    x = 10,867.91

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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.