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Finding the Fourth Proportional to 13,235.50, 18,264.99 and 7,646.50

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Solution

The fourth proportional to 13,235.50, 18,264.99 and 7,646.50 is: 10,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.50 : 18,264.99 = 7,646.50 : x
  2. Step 2: Convert to fraction form
    13,235.50/18,264.99 = 7,646.50/x
  3. Step 3: Cross multiply
    13,235.50x = 18,264.99 × 7,646.50
  4. Step 4: Simplify right side
    13,235.50x = 139,663,246.04
  5. Step 5: Solve for x
    x = 139,663,246.04/13,235.50
  6. Step 6: Final answer
    x = 10,552.17

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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.