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Finding the Fourth Proportional to 14,595.50, 21,878.61 and 5,698.59

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Solution

The fourth proportional to 14,595.50, 21,878.61 and 5,698.59 is: 8,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.50 : 21,878.61 = 5,698.59 : x
  2. Step 2: Convert to fraction form
    14,595.50/21,878.61 = 5,698.59/x
  3. Step 3: Cross multiply
    14,595.50x = 21,878.61 × 5,698.59
  4. Step 4: Simplify right side
    14,595.50x = 124,677,118.77
  5. Step 5: Solve for x
    x = 124,677,118.77/14,595.50
  6. Step 6: Final answer
    x = 8,542.16

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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.