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Finding the Fourth Proportional to 25,894.33, 35,733.40 and 14,564.46

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Solution

The fourth proportional to 25,894.33, 35,733.40 and 14,564.46 is: 20,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.33 : 35,733.40 = 14,564.46 : x
  2. Step 2: Convert to fraction form
    25,894.33/35,733.40 = 14,564.46/x
  3. Step 3: Cross multiply
    25,894.33x = 35,733.40 × 14,564.46
  4. Step 4: Simplify right side
    25,894.33x = 520,437,585.63
  5. Step 5: Solve for x
    x = 520,437,585.63/25,894.33
  6. Step 6: Final answer
    x = 20,098.51

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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.