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Finding the Fourth Proportional to 25,495, 38,238.55 and 13,024.24

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Solution

The fourth proportional to 25,495, 38,238.55 and 13,024.24 is: 19,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,495 : 38,238.55 = 13,024.24 : x
  2. Step 2: Convert to fraction form
    25,495/38,238.55 = 13,024.24/x
  3. Step 3: Cross multiply
    25,495x = 38,238.55 × 13,024.24
  4. Step 4: Simplify right side
    25,495x = 498,028,052.45
  5. Step 5: Solve for x
    x = 498,028,052.45/25,495
  6. Step 6: Final answer
    x = 19,534.34

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1.5x scale

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.