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Finding the Fourth Proportional to 14,991.84, 22,487.94 and 9,070.02

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Solution

The fourth proportional to 14,991.84, 22,487.94 and 9,070.02 is: 13,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991.84 : 22,487.94 = 9,070.02 : x
  2. Step 2: Convert to fraction form
    14,991.84/22,487.94 = 9,070.02/x
  3. Step 3: Cross multiply
    14,991.84x = 22,487.94 × 9,070.02
  4. Step 4: Simplify right side
    14,991.84x = 203,966,065.56
  5. Step 5: Solve for x
    x = 203,966,065.56/14,991.84
  6. Step 6: Final answer
    x = 13,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.