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Finding the Fourth Proportional to 13,057.54, 18,019.35 and 7,089.20

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Solution

The fourth proportional to 13,057.54, 18,019.35 and 7,089.20 is: 9,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.54 : 18,019.35 = 7,089.20 : x
  2. Step 2: Convert to fraction form
    13,057.54/18,019.35 = 7,089.20/x
  3. Step 3: Cross multiply
    13,057.54x = 18,019.35 × 7,089.20
  4. Step 4: Simplify right side
    13,057.54x = 127,742,844.89
  5. Step 5: Solve for x
    x = 127,742,844.89/13,057.54
  6. Step 6: Final answer
    x = 9,783.07

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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.