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Finding the Fourth Proportional to 25,931.88, 38,894.58 and 7,213.32

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Solution

The fourth proportional to 25,931.88, 38,894.58 and 7,213.32 is: 10,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.88 : 38,894.58 = 7,213.32 : x
  2. Step 2: Convert to fraction form
    25,931.88/38,894.58 = 7,213.32/x
  3. Step 3: Cross multiply
    25,931.88x = 38,894.58 × 7,213.32
  4. Step 4: Simplify right side
    25,931.88x = 280,559,051.81
  5. Step 5: Solve for x
    x = 280,559,051.81/25,931.88
  6. Step 6: Final answer
    x = 10,819.08

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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.