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Finding the Fourth Proportional to 17,864.58, 24,655.14 and 10,312.93

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Solution

The fourth proportional to 17,864.58, 24,655.14 and 10,312.93 is: 14,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.58 : 24,655.14 = 10,312.93 : x
  2. Step 2: Convert to fraction form
    17,864.58/24,655.14 = 10,312.93/x
  3. Step 3: Cross multiply
    17,864.58x = 24,655.14 × 10,312.93
  4. Step 4: Simplify right side
    17,864.58x = 254,266,732.96
  5. Step 5: Solve for x
    x = 254,266,732.96/17,864.58
  6. Step 6: Final answer
    x = 14,233.01

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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.