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Finding the Fourth Proportional to 13,107.64, 18,088.74 and 7,139.40

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Solution

The fourth proportional to 13,107.64, 18,088.74 and 7,139.40 is: 9,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.64 : 18,088.74 = 7,139.40 : x
  2. Step 2: Convert to fraction form
    13,107.64/18,088.74 = 7,139.40/x
  3. Step 3: Cross multiply
    13,107.64x = 18,088.74 × 7,139.40
  4. Step 4: Simplify right side
    13,107.64x = 129,142,750.36
  5. Step 5: Solve for x
    x = 129,142,750.36/13,107.64
  6. Step 6: Final answer
    x = 9,852.48

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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.