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Finding the Fourth Proportional to 25,392.12, 38,066.16 and 9,820.68

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Solution

The fourth proportional to 25,392.12, 38,066.16 and 9,820.68 is: 14,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,392.12 : 38,066.16 = 9,820.68 : x
  2. Step 2: Convert to fraction form
    25,392.12/38,066.16 = 9,820.68/x
  3. Step 3: Cross multiply
    25,392.12x = 38,066.16 × 9,820.68
  4. Step 4: Simplify right side
    25,392.12x = 373,835,576.19
  5. Step 5: Solve for x
    x = 373,835,576.19/25,392.12
  6. Step 6: Final answer
    x = 14,722.50

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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.