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Finding the Fourth Proportional to 26,034, 35,929.08 and 14,858.16

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Solution

The fourth proportional to 26,034, 35,929.08 and 14,858.16 is: 20,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,034 : 35,929.08 = 14,858.16 : x
  2. Step 2: Convert to fraction form
    26,034/35,929.08 = 14,858.16/x
  3. Step 3: Cross multiply
    26,034x = 35,929.08 × 14,858.16
  4. Step 4: Simplify right side
    26,034x = 533,840,019.29
  5. Step 5: Solve for x
    x = 533,840,019.29/26,034
  6. Step 6: Final answer
    x = 20,505.49

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1.5x scale

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.