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Finding the Fourth Proportional to 25,580.54, 38,368.38 and 8,937.50

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Solution

The fourth proportional to 25,580.54, 38,368.38 and 8,937.50 is: 13,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.54 : 38,368.38 = 8,937.50 : x
  2. Step 2: Convert to fraction form
    25,580.54/38,368.38 = 8,937.50/x
  3. Step 3: Cross multiply
    25,580.54x = 38,368.38 × 8,937.50
  4. Step 4: Simplify right side
    25,580.54x = 342,917,396.25
  5. Step 5: Solve for x
    x = 342,917,396.25/25,580.54
  6. Step 6: Final answer
    x = 13,405.40

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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.