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Finding the Fourth Proportional to 14,071.14, 19,416.86 and 7,783.38

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Solution

The fourth proportional to 14,071.14, 19,416.86 and 7,783.38 is: 10,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.14 : 19,416.86 = 7,783.38 : x
  2. Step 2: Convert to fraction form
    14,071.14/19,416.86 = 7,783.38/x
  3. Step 3: Cross multiply
    14,071.14x = 19,416.86 × 7,783.38
  4. Step 4: Simplify right side
    14,071.14x = 151,128,799.79
  5. Step 5: Solve for x
    x = 151,128,799.79/14,071.14
  6. Step 6: Final answer
    x = 10,740.34

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Why These Related Problems?

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