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Finding the Fourth Proportional to 13,070.30, 18,037.20 and 7,102.08

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Solution

The fourth proportional to 13,070.30, 18,037.20 and 7,102.08 is: 9,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.30 : 18,037.20 = 7,102.08 : x
  2. Step 2: Convert to fraction form
    13,070.30/18,037.20 = 7,102.08/x
  3. Step 3: Cross multiply
    13,070.30x = 18,037.20 × 7,102.08
  4. Step 4: Simplify right side
    13,070.30x = 128,101,637.38
  5. Step 5: Solve for x
    x = 128,101,637.38/13,070.30
  6. Step 6: Final answer
    x = 9,800.97

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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.