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Finding the Fourth Proportional to 42,662.84, 64,001.86 and 14,586.02

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Solution

The fourth proportional to 42,662.84, 64,001.86 and 14,586.02 is: 21,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.84 : 64,001.86 = 14,586.02 : x
  2. Step 2: Convert to fraction form
    42,662.84/64,001.86 = 14,586.02/x
  3. Step 3: Cross multiply
    42,662.84x = 64,001.86 × 14,586.02
  4. Step 4: Simplify right side
    42,662.84x = 933,532,017.06
  5. Step 5: Solve for x
    x = 933,532,017.06/42,662.84
  6. Step 6: Final answer
    x = 21,881.62

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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.