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Finding the Fourth Proportional to 19,564.74, 29,296.62 and 12,970.26

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Solution

The fourth proportional to 19,564.74, 29,296.62 and 12,970.26 is: 19,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.74 : 29,296.62 = 12,970.26 : x
  2. Step 2: Convert to fraction form
    19,564.74/29,296.62 = 12,970.26/x
  3. Step 3: Cross multiply
    19,564.74x = 29,296.62 × 12,970.26
  4. Step 4: Simplify right side
    19,564.74x = 379,984,778.52
  5. Step 5: Solve for x
    x = 379,984,778.52/19,564.74
  6. Step 6: Final answer
    x = 19,421.92

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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.