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Finding the Fourth Proportional to 13,135.40, 18,125.40 and 7,829.18

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Solution

The fourth proportional to 13,135.40, 18,125.40 and 7,829.18 is: 10,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.40 : 18,125.40 = 7,829.18 : x
  2. Step 2: Convert to fraction form
    13,135.40/18,125.40 = 7,829.18/x
  3. Step 3: Cross multiply
    13,135.40x = 18,125.40 × 7,829.18
  4. Step 4: Simplify right side
    13,135.40x = 141,907,019.17
  5. Step 5: Solve for x
    x = 141,907,019.17/13,135.40
  6. Step 6: Final answer
    x = 10,803.40

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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.