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Finding the Fourth Proportional to 25,364.16, 38,051.03 and 7,829.89

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Solution

The fourth proportional to 25,364.16, 38,051.03 and 7,829.89 is: 11,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.16 : 38,051.03 = 7,829.89 : x
  2. Step 2: Convert to fraction form
    25,364.16/38,051.03 = 7,829.89/x
  3. Step 3: Cross multiply
    25,364.16x = 38,051.03 × 7,829.89
  4. Step 4: Simplify right side
    25,364.16x = 297,935,379.29
  5. Step 5: Solve for x
    x = 297,935,379.29/25,364.16
  6. Step 6: Final answer
    x = 11,746.31

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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.