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Finding the Fourth Proportional to 18,842.16, 26,000.88 and 10,458

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Solution

The fourth proportional to 18,842.16, 26,000.88 and 10,458 is: 14,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.16 : 26,000.88 = 10,458 : x
  2. Step 2: Convert to fraction form
    18,842.16/26,000.88 = 10,458/x
  3. Step 3: Cross multiply
    18,842.16x = 26,000.88 × 10,458
  4. Step 4: Simplify right side
    18,842.16x = 271,917,203.04
  5. Step 5: Solve for x
    x = 271,917,203.04/18,842.16
  6. Step 6: Final answer
    x = 14,431.32

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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.