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Finding the Fourth Proportional to 13,625.32, 18,803.04 and 7,657

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Solution

The fourth proportional to 13,625.32, 18,803.04 and 7,657 is: 10,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.32 : 18,803.04 = 7,657 : x
  2. Step 2: Convert to fraction form
    13,625.32/18,803.04 = 7,657/x
  3. Step 3: Cross multiply
    13,625.32x = 18,803.04 × 7,657
  4. Step 4: Simplify right side
    13,625.32x = 143,974,877.28
  5. Step 5: Solve for x
    x = 143,974,877.28/13,625.32
  6. Step 6: Final answer
    x = 10,566.72

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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.