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Finding the Fourth Proportional to 25,823.94, 38,737.35 and 7,354.50

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Solution

The fourth proportional to 25,823.94, 38,737.35 and 7,354.50 is: 11,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.94 : 38,737.35 = 7,354.50 : x
  2. Step 2: Convert to fraction form
    25,823.94/38,737.35 = 7,354.50/x
  3. Step 3: Cross multiply
    25,823.94x = 38,737.35 × 7,354.50
  4. Step 4: Simplify right side
    25,823.94x = 284,893,840.58
  5. Step 5: Solve for x
    x = 284,893,840.58/25,823.94
  6. Step 6: Final answer
    x = 11,032.16

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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.