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Finding the Fourth Proportional to 14,277.84, 21,419.64 and 5,050.32

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Solution

The fourth proportional to 14,277.84, 21,419.64 and 5,050.32 is: 7,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.84 : 21,419.64 = 5,050.32 : x
  2. Step 2: Convert to fraction form
    14,277.84/21,419.64 = 5,050.32/x
  3. Step 3: Cross multiply
    14,277.84x = 21,419.64 × 5,050.32
  4. Step 4: Simplify right side
    14,277.84x = 108,176,036.28
  5. Step 5: Solve for x
    x = 108,176,036.28/14,277.84
  6. Step 6: Final answer
    x = 7,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.