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Finding the Fourth Proportional to 14,719.84, 20,315.22 and 8,432.23

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Solution

The fourth proportional to 14,719.84, 20,315.22 and 8,432.23 is: 11,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.84 : 20,315.22 = 8,432.23 : x
  2. Step 2: Convert to fraction form
    14,719.84/20,315.22 = 8,432.23/x
  3. Step 3: Cross multiply
    14,719.84x = 20,315.22 × 8,432.23
  4. Step 4: Simplify right side
    14,719.84x = 171,302,607.54
  5. Step 5: Solve for x
    x = 171,302,607.54/14,719.84
  6. Step 6: Final answer
    x = 11,637.53

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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.