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Finding the Fourth Proportional to 15,054.69, 22,582.86 and 6,280.77

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Solution

The fourth proportional to 15,054.69, 22,582.86 and 6,280.77 is: 9,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054.69 : 22,582.86 = 6,280.77 : x
  2. Step 2: Convert to fraction form
    15,054.69/22,582.86 = 6,280.77/x
  3. Step 3: Cross multiply
    15,054.69x = 22,582.86 × 6,280.77
  4. Step 4: Simplify right side
    15,054.69x = 141,837,749.60
  5. Step 5: Solve for x
    x = 141,837,749.60/15,054.69
  6. Step 6: Final answer
    x = 9,421.50

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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.