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Finding the Fourth Proportional to 13,094.16, 18,070.32 and 7,126.21

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Solution

The fourth proportional to 13,094.16, 18,070.32 and 7,126.21 is: 9,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.16 : 18,070.32 = 7,126.21 : x
  2. Step 2: Convert to fraction form
    13,094.16/18,070.32 = 7,126.21/x
  3. Step 3: Cross multiply
    13,094.16x = 18,070.32 × 7,126.21
  4. Step 4: Simplify right side
    13,094.16x = 128,772,895.09
  5. Step 5: Solve for x
    x = 128,772,895.09/13,094.16
  6. Step 6: Final answer
    x = 9,834.38

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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.