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Finding the Fourth Proportional to 14,101.58, 19,460.22 and 7,814

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Solution

The fourth proportional to 14,101.58, 19,460.22 and 7,814 is: 10,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.58 : 19,460.22 = 7,814 : x
  2. Step 2: Convert to fraction form
    14,101.58/19,460.22 = 7,814/x
  3. Step 3: Cross multiply
    14,101.58x = 19,460.22 × 7,814
  4. Step 4: Simplify right side
    14,101.58x = 152,062,159.08
  5. Step 5: Solve for x
    x = 152,062,159.08/14,101.58
  6. Step 6: Final answer
    x = 10,783.34

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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.