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Finding the Fourth Proportional to 16,444.74, 24,673.29 and 9,875.64

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Solution

The fourth proportional to 16,444.74, 24,673.29 and 9,875.64 is: 14,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.74 : 24,673.29 = 9,875.64 : x
  2. Step 2: Convert to fraction form
    16,444.74/24,673.29 = 9,875.64/x
  3. Step 3: Cross multiply
    16,444.74x = 24,673.29 × 9,875.64
  4. Step 4: Simplify right side
    16,444.74x = 243,664,529.66
  5. Step 5: Solve for x
    x = 243,664,529.66/16,444.74
  6. Step 6: Final answer
    x = 14,817.17

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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.