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Finding the Fourth Proportional to 25,516.74, 38,258.49 and 8,875.50

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Solution

The fourth proportional to 25,516.74, 38,258.49 and 8,875.50 is: 13,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.74 : 38,258.49 = 8,875.50 : x
  2. Step 2: Convert to fraction form
    25,516.74/38,258.49 = 8,875.50/x
  3. Step 3: Cross multiply
    25,516.74x = 38,258.49 × 8,875.50
  4. Step 4: Simplify right side
    25,516.74x = 339,563,228.00
  5. Step 5: Solve for x
    x = 339,563,228.00/25,516.74
  6. Step 6: Final answer
    x = 13,307.47

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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.