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Finding the Fourth Proportional to 19,349.73, 29,009.97 and 9,985.68

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Solution

The fourth proportional to 19,349.73, 29,009.97 and 9,985.68 is: 14,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,349.73 : 29,009.97 = 9,985.68 : x
  2. Step 2: Convert to fraction form
    19,349.73/29,009.97 = 9,985.68/x
  3. Step 3: Cross multiply
    19,349.73x = 29,009.97 × 9,985.68
  4. Step 4: Simplify right side
    19,349.73x = 289,684,277.23
  5. Step 5: Solve for x
    x = 289,684,277.23/19,349.73
  6. Step 6: Final answer
    x = 14,970.97

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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.