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Finding the Fourth Proportional to 30,395.62, 45,595.05 and 9,617.50

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Solution

The fourth proportional to 30,395.62, 45,595.05 and 9,617.50 is: 14,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,395.62 : 45,595.05 = 9,617.50 : x
  2. Step 2: Convert to fraction form
    30,395.62/45,595.05 = 9,617.50/x
  3. Step 3: Cross multiply
    30,395.62x = 45,595.05 × 9,617.50
  4. Step 4: Simplify right side
    30,395.62x = 438,510,393.38
  5. Step 5: Solve for x
    x = 438,510,393.38/30,395.62
  6. Step 6: Final answer
    x = 14,426.76

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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.