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Finding the Fourth Proportional to 13,730.32, 18,948.90 and 7,762.11

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Solution

The fourth proportional to 13,730.32, 18,948.90 and 7,762.11 is: 10,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.32 : 18,948.90 = 7,762.11 : x
  2. Step 2: Convert to fraction form
    13,730.32/18,948.90 = 7,762.11/x
  3. Step 3: Cross multiply
    13,730.32x = 18,948.90 × 7,762.11
  4. Step 4: Simplify right side
    13,730.32x = 147,083,446.18
  5. Step 5: Solve for x
    x = 147,083,446.18/13,730.32
  6. Step 6: Final answer
    x = 10,712.31

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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.