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Finding the Fourth Proportional to 14,267.66, 19,693.94 and 10,019.75

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Solution

The fourth proportional to 14,267.66, 19,693.94 and 10,019.75 is: 13,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.66 : 19,693.94 = 10,019.75 : x
  2. Step 2: Convert to fraction form
    14,267.66/19,693.94 = 10,019.75/x
  3. Step 3: Cross multiply
    14,267.66x = 19,693.94 × 10,019.75
  4. Step 4: Simplify right side
    14,267.66x = 197,328,429.60
  5. Step 5: Solve for x
    x = 197,328,429.60/14,267.66
  6. Step 6: Final answer
    x = 13,830.47

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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.