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Finding the Fourth Proportional to 18,926.08, 26,116 and 10,970.80

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Solution

The fourth proportional to 18,926.08, 26,116 and 10,970.80 is: 15,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,926.08 : 26,116 = 10,970.80 : x
  2. Step 2: Convert to fraction form
    18,926.08/26,116 = 10,970.80/x
  3. Step 3: Cross multiply
    18,926.08x = 26,116 × 10,970.80
  4. Step 4: Simplify right side
    18,926.08x = 286,513,412.80
  5. Step 5: Solve for x
    x = 286,513,412.80/18,926.08
  6. Step 6: Final answer
    x = 15,138.55

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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.