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Finding the Fourth Proportional to 14,261.71, 19,685.26 and 10,013.80

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Solution

The fourth proportional to 14,261.71, 19,685.26 and 10,013.80 is: 13,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.71 : 19,685.26 = 10,013.80 : x
  2. Step 2: Convert to fraction form
    14,261.71/19,685.26 = 10,013.80/x
  3. Step 3: Cross multiply
    14,261.71x = 19,685.26 × 10,013.80
  4. Step 4: Simplify right side
    14,261.71x = 197,124,281.62
  5. Step 5: Solve for x
    x = 197,124,281.62/14,261.71
  6. Step 6: Final answer
    x = 13,821.93

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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.