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Finding the Fourth Proportional to 10,586.64, 14,602.20 and 10,239.12

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Solution

The fourth proportional to 10,586.64, 14,602.20 and 10,239.12 is: 14,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.64 : 14,602.20 = 10,239.12 : x
  2. Step 2: Convert to fraction form
    10,586.64/14,602.20 = 10,239.12/x
  3. Step 3: Cross multiply
    10,586.64x = 14,602.20 × 10,239.12
  4. Step 4: Simplify right side
    10,586.64x = 149,513,678.06
  5. Step 5: Solve for x
    x = 149,513,678.06/10,586.64
  6. Step 6: Final answer
    x = 14,122.86

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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.