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Finding the Fourth Proportional to 14,565.01, 21,848.94 and 5,797.87

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Solution

The fourth proportional to 14,565.01, 21,848.94 and 5,797.87 is: 8,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.01 : 21,848.94 = 5,797.87 : x
  2. Step 2: Convert to fraction form
    14,565.01/21,848.94 = 5,797.87/x
  3. Step 3: Cross multiply
    14,565.01x = 21,848.94 × 5,797.87
  4. Step 4: Simplify right side
    14,565.01x = 126,677,284.77
  5. Step 5: Solve for x
    x = 126,677,284.77/14,565.01
  6. Step 6: Final answer
    x = 8,697.37

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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.