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Finding the Fourth Proportional to 14,094.86, 19,424.12 and 10,109.07

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Solution

The fourth proportional to 14,094.86, 19,424.12 and 10,109.07 is: 13,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.86 : 19,424.12 = 10,109.07 : x
  2. Step 2: Convert to fraction form
    14,094.86/19,424.12 = 10,109.07/x
  3. Step 3: Cross multiply
    14,094.86x = 19,424.12 × 10,109.07
  4. Step 4: Simplify right side
    14,094.86x = 196,359,738.22
  5. Step 5: Solve for x
    x = 196,359,738.22/14,094.86
  6. Step 6: Final answer
    x = 13,931.31

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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.