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Finding the Fourth Proportional to 16,054.55, 22,158.74 and 9,768.95

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Solution

The fourth proportional to 16,054.55, 22,158.74 and 9,768.95 is: 13,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.55 : 22,158.74 = 9,768.95 : x
  2. Step 2: Convert to fraction form
    16,054.55/22,158.74 = 9,768.95/x
  3. Step 3: Cross multiply
    16,054.55x = 22,158.74 × 9,768.95
  4. Step 4: Simplify right side
    16,054.55x = 216,467,623.12
  5. Step 5: Solve for x
    x = 216,467,623.12/16,054.55
  6. Step 6: Final answer
    x = 13,483.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.