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Finding the Fourth Proportional to 13,577.76, 18,731.52 and 9,378.72

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Solution

The fourth proportional to 13,577.76, 18,731.52 and 9,378.72 is: 12,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.76 : 18,731.52 = 9,378.72 : x
  2. Step 2: Convert to fraction form
    13,577.76/18,731.52 = 9,378.72/x
  3. Step 3: Cross multiply
    13,577.76x = 18,731.52 × 9,378.72
  4. Step 4: Simplify right side
    13,577.76x = 175,677,681.25
  5. Step 5: Solve for x
    x = 175,677,681.25/13,577.76
  6. Step 6: Final answer
    x = 12,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.