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Finding the Fourth Proportional to 26,378.58, 39,563.64 and 9,746.46

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Solution

The fourth proportional to 26,378.58, 39,563.64 and 9,746.46 is: 14,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378.58 : 39,563.64 = 9,746.46 : x
  2. Step 2: Convert to fraction form
    26,378.58/39,563.64 = 9,746.46/x
  3. Step 3: Cross multiply
    26,378.58x = 39,563.64 × 9,746.46
  4. Step 4: Simplify right side
    26,378.58x = 385,605,434.71
  5. Step 5: Solve for x
    x = 385,605,434.71/26,378.58
  6. Step 6: Final answer
    x = 14,618.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.