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Finding the Fourth Proportional to 13,748.79, 18,973.16 and 7,780.30

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Solution

The fourth proportional to 13,748.79, 18,973.16 and 7,780.30 is: 10,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.79 : 18,973.16 = 7,780.30 : x
  2. Step 2: Convert to fraction form
    13,748.79/18,973.16 = 7,780.30/x
  3. Step 3: Cross multiply
    13,748.79x = 18,973.16 × 7,780.30
  4. Step 4: Simplify right side
    13,748.79x = 147,616,948.20
  5. Step 5: Solve for x
    x = 147,616,948.20/13,748.79
  6. Step 6: Final answer
    x = 10,736.72

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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.