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Finding the Fourth Proportional to 16,547.51, 24,807.31 and 7,180.47

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Solution

The fourth proportional to 16,547.51, 24,807.31 and 7,180.47 is: 10,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.51 : 24,807.31 = 7,180.47 : x
  2. Step 2: Convert to fraction form
    16,547.51/24,807.31 = 7,180.47/x
  3. Step 3: Cross multiply
    16,547.51x = 24,807.31 × 7,180.47
  4. Step 4: Simplify right side
    16,547.51x = 178,128,145.24
  5. Step 5: Solve for x
    x = 178,128,145.24/16,547.51
  6. Step 6: Final answer
    x = 10,764.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.