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Finding the Fourth Proportional to 25,582.51, 38,384.94 and 8,954.50

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Solution

The fourth proportional to 25,582.51, 38,384.94 and 8,954.50 is: 13,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582.51 : 38,384.94 = 8,954.50 : x
  2. Step 2: Convert to fraction form
    25,582.51/38,384.94 = 8,954.50/x
  3. Step 3: Cross multiply
    25,582.51x = 38,384.94 × 8,954.50
  4. Step 4: Simplify right side
    25,582.51x = 343,717,945.23
  5. Step 5: Solve for x
    x = 343,717,945.23/25,582.51
  6. Step 6: Final answer
    x = 13,435.66

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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.