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Finding the Fourth Proportional to 27,002.61, 40,503.86 and 9,477.45

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Solution

The fourth proportional to 27,002.61, 40,503.86 and 9,477.45 is: 14,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.61 : 40,503.86 = 9,477.45 : x
  2. Step 2: Convert to fraction form
    27,002.61/40,503.86 = 9,477.45/x
  3. Step 3: Cross multiply
    27,002.61x = 40,503.86 × 9,477.45
  4. Step 4: Simplify right side
    27,002.61x = 383,873,260.57
  5. Step 5: Solve for x
    x = 383,873,260.57/27,002.61
  6. Step 6: Final answer
    x = 14,216.15

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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.