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Finding the Fourth Proportional to 25,053.72, 37,582.48 and 8,413.84

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Solution

The fourth proportional to 25,053.72, 37,582.48 and 8,413.84 is: 12,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053.72 : 37,582.48 = 8,413.84 : x
  2. Step 2: Convert to fraction form
    25,053.72/37,582.48 = 8,413.84/x
  3. Step 3: Cross multiply
    25,053.72x = 37,582.48 × 8,413.84
  4. Step 4: Simplify right side
    25,053.72x = 316,212,973.52
  5. Step 5: Solve for x
    x = 316,212,973.52/25,053.72
  6. Step 6: Final answer
    x = 12,621.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.