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Finding the Fourth Proportional to 14,102, 19,460.44 and 7,814.32

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Solution

The fourth proportional to 14,102, 19,460.44 and 7,814.32 is: 10,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 19,460.44 = 7,814.32 : x
  2. Step 2: Convert to fraction form
    14,102/19,460.44 = 7,814.32/x
  3. Step 3: Cross multiply
    14,102x = 19,460.44 × 7,814.32
  4. Step 4: Simplify right side
    14,102x = 152,070,105.50
  5. Step 5: Solve for x
    x = 152,070,105.50/14,102
  6. Step 6: Final answer
    x = 10,783.58

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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.