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Finding the Fourth Proportional to 13,637.88, 18,817.92 and 7,669.08

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Solution

The fourth proportional to 13,637.88, 18,817.92 and 7,669.08 is: 10,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.88 : 18,817.92 = 7,669.08 : x
  2. Step 2: Convert to fraction form
    13,637.88/18,817.92 = 7,669.08/x
  3. Step 3: Cross multiply
    13,637.88x = 18,817.92 × 7,669.08
  4. Step 4: Simplify right side
    13,637.88x = 144,316,133.91
  5. Step 5: Solve for x
    x = 144,316,133.91/13,637.88
  6. Step 6: Final answer
    x = 10,582.01

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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.