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Finding the Fourth Proportional to 19,223.57, 28,833.94 and 9,235.46

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Solution

The fourth proportional to 19,223.57, 28,833.94 and 9,235.46 is: 13,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.57 : 28,833.94 = 9,235.46 : x
  2. Step 2: Convert to fraction form
    19,223.57/28,833.94 = 9,235.46/x
  3. Step 3: Cross multiply
    19,223.57x = 28,833.94 × 9,235.46
  4. Step 4: Simplify right side
    19,223.57x = 266,294,699.51
  5. Step 5: Solve for x
    x = 266,294,699.51/19,223.57
  6. Step 6: Final answer
    x = 13,852.51

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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.