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Finding the Fourth Proportional to 16,547.31, 24,771.74 and 9,953.51

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Solution

The fourth proportional to 16,547.31, 24,771.74 and 9,953.51 is: 14,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.31 : 24,771.74 = 9,953.51 : x
  2. Step 2: Convert to fraction form
    16,547.31/24,771.74 = 9,953.51/x
  3. Step 3: Cross multiply
    16,547.31x = 24,771.74 × 9,953.51
  4. Step 4: Simplify right side
    16,547.31x = 246,565,588.18
  5. Step 5: Solve for x
    x = 246,565,588.18/16,547.31
  6. Step 6: Final answer
    x = 14,900.64

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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.