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Finding the Fourth Proportional to 16,405.65, 22,637.75 and 9,332.19

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Solution

The fourth proportional to 16,405.65, 22,637.75 and 9,332.19 is: 12,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.65 : 22,637.75 = 9,332.19 : x
  2. Step 2: Convert to fraction form
    16,405.65/22,637.75 = 9,332.19/x
  3. Step 3: Cross multiply
    16,405.65x = 22,637.75 × 9,332.19
  4. Step 4: Simplify right side
    16,405.65x = 211,259,737.51
  5. Step 5: Solve for x
    x = 211,259,737.51/16,405.65
  6. Step 6: Final answer
    x = 12,877.25

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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.