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Finding the Fourth Proportional to 13,496, 20,242.08 and 4,730.56

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Solution

The fourth proportional to 13,496, 20,242.08 and 4,730.56 is: 7,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496 : 20,242.08 = 4,730.56 : x
  2. Step 2: Convert to fraction form
    13,496/20,242.08 = 4,730.56/x
  3. Step 3: Cross multiply
    13,496x = 20,242.08 × 4,730.56
  4. Step 4: Simplify right side
    13,496x = 95,756,373.96
  5. Step 5: Solve for x
    x = 95,756,373.96/13,496
  6. Step 6: Final answer
    x = 7,095.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.