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Finding the Fourth Proportional to 13,557.46, 18,709.63 and 7,589.08

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Solution

The fourth proportional to 13,557.46, 18,709.63 and 7,589.08 is: 10,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.46 : 18,709.63 = 7,589.08 : x
  2. Step 2: Convert to fraction form
    13,557.46/18,709.63 = 7,589.08/x
  3. Step 3: Cross multiply
    13,557.46x = 18,709.63 × 7,589.08
  4. Step 4: Simplify right side
    13,557.46x = 141,988,878.84
  5. Step 5: Solve for x
    x = 141,988,878.84/13,557.46
  6. Step 6: Final answer
    x = 10,473.12

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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.