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Finding the Fourth Proportional to 14,101, 19,459.38 and 7,814.32

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Solution

The fourth proportional to 14,101, 19,459.38 and 7,814.32 is: 10,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101 : 19,459.38 = 7,814.32 : x
  2. Step 2: Convert to fraction form
    14,101/19,459.38 = 7,814.32/x
  3. Step 3: Cross multiply
    14,101x = 19,459.38 × 7,814.32
  4. Step 4: Simplify right side
    14,101x = 152,061,822.32
  5. Step 5: Solve for x
    x = 152,061,822.32/14,101
  6. Step 6: Final answer
    x = 10,783.76

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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.