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Finding the Fourth Proportional to 19,564.02, 29,342.62 and 9,033.14

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Solution

The fourth proportional to 19,564.02, 29,342.62 and 9,033.14 is: 13,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.02 : 29,342.62 = 9,033.14 : x
  2. Step 2: Convert to fraction form
    19,564.02/29,342.62 = 9,033.14/x
  3. Step 3: Cross multiply
    19,564.02x = 29,342.62 × 9,033.14
  4. Step 4: Simplify right side
    19,564.02x = 265,056,079.07
  5. Step 5: Solve for x
    x = 265,056,079.07/19,564.02
  6. Step 6: Final answer
    x = 13,548.14

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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.