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Finding the Fourth Proportional to 13,184.66, 19,770.59 and 4,868.59

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Solution

The fourth proportional to 13,184.66, 19,770.59 and 4,868.59 is: 7,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.66 : 19,770.59 = 4,868.59 : x
  2. Step 2: Convert to fraction form
    13,184.66/19,770.59 = 4,868.59/x
  3. Step 3: Cross multiply
    13,184.66x = 19,770.59 × 4,868.59
  4. Step 4: Simplify right side
    13,184.66x = 96,254,859.51
  5. Step 5: Solve for x
    x = 96,254,859.51/13,184.66
  6. Step 6: Final answer
    x = 7,300.52

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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.