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Finding the Fourth Proportional to 19,752, 29,624.36 and 5,708.54

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Solution

The fourth proportional to 19,752, 29,624.36 and 5,708.54 is: 8,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 29,624.36 = 5,708.54 : x
  2. Step 2: Convert to fraction form
    19,752/29,624.36 = 5,708.54/x
  3. Step 3: Cross multiply
    19,752x = 29,624.36 × 5,708.54
  4. Step 4: Simplify right side
    19,752x = 169,111,667.37
  5. Step 5: Solve for x
    x = 169,111,667.37/19,752
  6. Step 6: Final answer
    x = 8,561.75

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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.