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Finding the Fourth Proportional to 13,465, 18,581.70 and 7,877.08

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Solution

The fourth proportional to 13,465, 18,581.70 and 7,877.08 is: 10,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465 : 18,581.70 = 7,877.08 : x
  2. Step 2: Convert to fraction form
    13,465/18,581.70 = 7,877.08/x
  3. Step 3: Cross multiply
    13,465x = 18,581.70 × 7,877.08
  4. Step 4: Simplify right side
    13,465x = 146,369,537.44
  5. Step 5: Solve for x
    x = 146,369,537.44/13,465
  6. Step 6: Final answer
    x = 10,870.37

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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.