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Finding the Fourth Proportional to 16,007.64, 22,093.43 and 9,547.69

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Solution

The fourth proportional to 16,007.64, 22,093.43 and 9,547.69 is: 13,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.64 : 22,093.43 = 9,547.69 : x
  2. Step 2: Convert to fraction form
    16,007.64/22,093.43 = 9,547.69/x
  3. Step 3: Cross multiply
    16,007.64x = 22,093.43 × 9,547.69
  4. Step 4: Simplify right side
    16,007.64x = 210,941,153.51
  5. Step 5: Solve for x
    x = 210,941,153.51/16,007.64
  6. Step 6: Final answer
    x = 13,177.53

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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.