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Finding the Fourth Proportional to 19,774.71, 29,664.65 and 7,303.48

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Solution

The fourth proportional to 19,774.71, 29,664.65 and 7,303.48 is: 10,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.71 : 29,664.65 = 7,303.48 : x
  2. Step 2: Convert to fraction form
    19,774.71/29,664.65 = 7,303.48/x
  3. Step 3: Cross multiply
    19,774.71x = 29,664.65 × 7,303.48
  4. Step 4: Simplify right side
    19,774.71x = 216,655,177.98
  5. Step 5: Solve for x
    x = 216,655,177.98/19,774.71
  6. Step 6: Final answer
    x = 10,956.17

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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.