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Finding the Fourth Proportional to 13,605.42, 18,773.10 and 7,637.34

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Solution

The fourth proportional to 13,605.42, 18,773.10 and 7,637.34 is: 10,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.42 : 18,773.10 = 7,637.34 : x
  2. Step 2: Convert to fraction form
    13,605.42/18,773.10 = 7,637.34/x
  3. Step 3: Cross multiply
    13,605.42x = 18,773.10 × 7,637.34
  4. Step 4: Simplify right side
    13,605.42x = 143,376,547.55
  5. Step 5: Solve for x
    x = 143,376,547.55/13,605.42
  6. Step 6: Final answer
    x = 10,538.19

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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.