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Finding the Fourth Proportional to 19,775.05, 29,646.33 and 9,239.86

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Solution

The fourth proportional to 19,775.05, 29,646.33 and 9,239.86 is: 13,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.05 : 29,646.33 = 9,239.86 : x
  2. Step 2: Convert to fraction form
    19,775.05/29,646.33 = 9,239.86/x
  3. Step 3: Cross multiply
    19,775.05x = 29,646.33 × 9,239.86
  4. Step 4: Simplify right side
    19,775.05x = 273,927,892.51
  5. Step 5: Solve for x
    x = 273,927,892.51/19,775.05
  6. Step 6: Final answer
    x = 13,852.20

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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.