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Finding the Fourth Proportional to 20,420.48, 30,602.36 and 9,300

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Solution

The fourth proportional to 20,420.48, 30,602.36 and 9,300 is: 13,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.48 : 30,602.36 = 9,300 : x
  2. Step 2: Convert to fraction form
    20,420.48/30,602.36 = 9,300/x
  3. Step 3: Cross multiply
    20,420.48x = 30,602.36 × 9,300
  4. Step 4: Simplify right side
    20,420.48x = 284,601,948
  5. Step 5: Solve for x
    x = 284,601,948/20,420.48
  6. Step 6: Final answer
    x = 13,937.08

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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.