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Finding the Fourth Proportional to 13,709.76, 18,902.88 and 10,875.84

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Solution

The fourth proportional to 13,709.76, 18,902.88 and 10,875.84 is: 14,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.76 : 18,902.88 = 10,875.84 : x
  2. Step 2: Convert to fraction form
    13,709.76/18,902.88 = 10,875.84/x
  3. Step 3: Cross multiply
    13,709.76x = 18,902.88 × 10,875.84
  4. Step 4: Simplify right side
    13,709.76x = 205,584,698.42
  5. Step 5: Solve for x
    x = 205,584,698.42/13,709.76
  6. Step 6: Final answer
    x = 14,995.50

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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.