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Finding the Fourth Proportional to 16,730.64, 23,085.66 and 9,655.74

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Solution

The fourth proportional to 16,730.64, 23,085.66 and 9,655.74 is: 13,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.64 : 23,085.66 = 9,655.74 : x
  2. Step 2: Convert to fraction form
    16,730.64/23,085.66 = 9,655.74/x
  3. Step 3: Cross multiply
    16,730.64x = 23,085.66 × 9,655.74
  4. Step 4: Simplify right side
    16,730.64x = 222,909,130.69
  5. Step 5: Solve for x
    x = 222,909,130.69/16,730.64
  6. Step 6: Final answer
    x = 13,323.41

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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.