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Finding the Fourth Proportional to 30,177.36, 45,270.90 and 9,396

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Solution

The fourth proportional to 30,177.36, 45,270.90 and 9,396 is: 14,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.36 : 45,270.90 = 9,396 : x
  2. Step 2: Convert to fraction form
    30,177.36/45,270.90 = 9,396/x
  3. Step 3: Cross multiply
    30,177.36x = 45,270.90 × 9,396
  4. Step 4: Simplify right side
    30,177.36x = 425,365,376.40
  5. Step 5: Solve for x
    x = 425,365,376.40/30,177.36
  6. Step 6: Final answer
    x = 14,095.51

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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.