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Finding the Fourth Proportional to 30,386.14, 45,564.20 and 9,321.14

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Solution

The fourth proportional to 30,386.14, 45,564.20 and 9,321.14 is: 13,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.14 : 45,564.20 = 9,321.14 : x
  2. Step 2: Convert to fraction form
    30,386.14/45,564.20 = 9,321.14/x
  3. Step 3: Cross multiply
    30,386.14x = 45,564.20 × 9,321.14
  4. Step 4: Simplify right side
    30,386.14x = 424,710,287.19
  5. Step 5: Solve for x
    x = 424,710,287.19/30,386.14
  6. Step 6: Final answer
    x = 13,977.11

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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.