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Finding the Fourth Proportional to 19,823.40, 27,356.22 and 10,870.67

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Solution

The fourth proportional to 19,823.40, 27,356.22 and 10,870.67 is: 15,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.40 : 27,356.22 = 10,870.67 : x
  2. Step 2: Convert to fraction form
    19,823.40/27,356.22 = 10,870.67/x
  3. Step 3: Cross multiply
    19,823.40x = 27,356.22 × 10,870.67
  4. Step 4: Simplify right side
    19,823.40x = 297,380,440.07
  5. Step 5: Solve for x
    x = 297,380,440.07/19,823.40
  6. Step 6: Final answer
    x = 15,001.49

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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.