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Finding the Fourth Proportional to 16,165.68, 22,303.14 and 9,090.60

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Solution

The fourth proportional to 16,165.68, 22,303.14 and 9,090.60 is: 12,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.68 : 22,303.14 = 9,090.60 : x
  2. Step 2: Convert to fraction form
    16,165.68/22,303.14 = 9,090.60/x
  3. Step 3: Cross multiply
    16,165.68x = 22,303.14 × 9,090.60
  4. Step 4: Simplify right side
    16,165.68x = 202,748,924.48
  5. Step 5: Solve for x
    x = 202,748,924.48/16,165.68
  6. Step 6: Final answer
    x = 12,541.94

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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.