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Finding the Fourth Proportional to 13,543.81, 18,690.51 and 7,575.10

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Solution

The fourth proportional to 13,543.81, 18,690.51 and 7,575.10 is: 10,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.81 : 18,690.51 = 7,575.10 : x
  2. Step 2: Convert to fraction form
    13,543.81/18,690.51 = 7,575.10/x
  3. Step 3: Cross multiply
    13,543.81x = 18,690.51 × 7,575.10
  4. Step 4: Simplify right side
    13,543.81x = 141,582,428.32
  5. Step 5: Solve for x
    x = 141,582,428.32/13,543.81
  6. Step 6: Final answer
    x = 10,453.66

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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.