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Finding the Fourth Proportional to 19,564.56, 29,349.12 and 7,090.46

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Solution

The fourth proportional to 19,564.56, 29,349.12 and 7,090.46 is: 10,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.56 : 29,349.12 = 7,090.46 : x
  2. Step 2: Convert to fraction form
    19,564.56/29,349.12 = 7,090.46/x
  3. Step 3: Cross multiply
    19,564.56x = 29,349.12 × 7,090.46
  4. Step 4: Simplify right side
    19,564.56x = 208,098,761.40
  5. Step 5: Solve for x
    x = 208,098,761.40/19,564.56
  6. Step 6: Final answer
    x = 10,636.52

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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.