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Finding the Fourth Proportional to 13,090.14, 18,047.66 and 8,482.77

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Solution

The fourth proportional to 13,090.14, 18,047.66 and 8,482.77 is: 11,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.14 : 18,047.66 = 8,482.77 : x
  2. Step 2: Convert to fraction form
    13,090.14/18,047.66 = 8,482.77/x
  3. Step 3: Cross multiply
    13,090.14x = 18,047.66 × 8,482.77
  4. Step 4: Simplify right side
    13,090.14x = 153,094,106.40
  5. Step 5: Solve for x
    x = 153,094,106.40/13,090.14
  6. Step 6: Final answer
    x = 11,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.