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Finding the Fourth Proportional to 19,762.98, 29,641.36 and 6,436.45

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Solution

The fourth proportional to 19,762.98, 29,641.36 and 6,436.45 is: 9,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.98 : 29,641.36 = 6,436.45 : x
  2. Step 2: Convert to fraction form
    19,762.98/29,641.36 = 6,436.45/x
  3. Step 3: Cross multiply
    19,762.98x = 29,641.36 × 6,436.45
  4. Step 4: Simplify right side
    19,762.98x = 190,785,131.57
  5. Step 5: Solve for x
    x = 190,785,131.57/19,762.98
  6. Step 6: Final answer
    x = 9,653.66

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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.