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Finding the Fourth Proportional to 13,637.76, 20,430.08 and 7,054.08

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Solution

The fourth proportional to 13,637.76, 20,430.08 and 7,054.08 is: 10,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.76 : 20,430.08 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    13,637.76/20,430.08 = 7,054.08/x
  3. Step 3: Cross multiply
    13,637.76x = 20,430.08 × 7,054.08
  4. Step 4: Simplify right side
    13,637.76x = 144,115,418.73
  5. Step 5: Solve for x
    x = 144,115,418.73/13,637.76
  6. Step 6: Final answer
    x = 10,567.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.