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Finding the Fourth Proportional to 13,237.18, 18,267.74 and 7,648.18

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Solution

The fourth proportional to 13,237.18, 18,267.74 and 7,648.18 is: 10,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.18 : 18,267.74 = 7,648.18 : x
  2. Step 2: Convert to fraction form
    13,237.18/18,267.74 = 7,648.18/x
  3. Step 3: Cross multiply
    13,237.18x = 18,267.74 × 7,648.18
  4. Step 4: Simplify right side
    13,237.18x = 139,714,963.71
  5. Step 5: Solve for x
    x = 139,714,963.71/13,237.18
  6. Step 6: Final answer
    x = 10,554.74

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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.