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Finding the Fourth Proportional to 14,748.88, 20,356.08 and 8,784

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Solution

The fourth proportional to 14,748.88, 20,356.08 and 8,784 is: 12,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.88 : 20,356.08 = 8,784 : x
  2. Step 2: Convert to fraction form
    14,748.88/20,356.08 = 8,784/x
  3. Step 3: Cross multiply
    14,748.88x = 20,356.08 × 8,784
  4. Step 4: Simplify right side
    14,748.88x = 178,807,806.72
  5. Step 5: Solve for x
    x = 178,807,806.72/14,748.88
  6. Step 6: Final answer
    x = 12,123.48

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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.