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Finding the Fourth Proportional to 29,569.24, 40,804.62 and 16,140.40

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Solution

The fourth proportional to 29,569.24, 40,804.62 and 16,140.40 is: 22,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569.24 : 40,804.62 = 16,140.40 : x
  2. Step 2: Convert to fraction form
    29,569.24/40,804.62 = 16,140.40/x
  3. Step 3: Cross multiply
    29,569.24x = 40,804.62 × 16,140.40
  4. Step 4: Simplify right side
    29,569.24x = 658,602,888.65
  5. Step 5: Solve for x
    x = 658,602,888.65/29,569.24
  6. Step 6: Final answer
    x = 22,273.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.