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Finding the Fourth Proportional to 19,381.68, 26,746.20 and 10,998

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Solution

The fourth proportional to 19,381.68, 26,746.20 and 10,998 is: 15,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.68 : 26,746.20 = 10,998 : x
  2. Step 2: Convert to fraction form
    19,381.68/26,746.20 = 10,998/x
  3. Step 3: Cross multiply
    19,381.68x = 26,746.20 × 10,998
  4. Step 4: Simplify right side
    19,381.68x = 294,154,707.60
  5. Step 5: Solve for x
    x = 294,154,707.60/19,381.68
  6. Step 6: Final answer
    x = 15,176.95

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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.