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Finding the Fourth Proportional to 13,678.08, 18,875.88 and 8,088

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Solution

The fourth proportional to 13,678.08, 18,875.88 and 8,088 is: 11,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.08 : 18,875.88 = 8,088 : x
  2. Step 2: Convert to fraction form
    13,678.08/18,875.88 = 8,088/x
  3. Step 3: Cross multiply
    13,678.08x = 18,875.88 × 8,088
  4. Step 4: Simplify right side
    13,678.08x = 152,668,117.44
  5. Step 5: Solve for x
    x = 152,668,117.44/13,678.08
  6. Step 6: Final answer
    x = 11,161.52

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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.