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Finding the Fourth Proportional to 14,443.65, 21,669.66 and 7,052.40

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Solution

The fourth proportional to 14,443.65, 21,669.66 and 7,052.40 is: 10,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.65 : 21,669.66 = 7,052.40 : x
  2. Step 2: Convert to fraction form
    14,443.65/21,669.66 = 7,052.40/x
  3. Step 3: Cross multiply
    14,443.65x = 21,669.66 × 7,052.40
  4. Step 4: Simplify right side
    14,443.65x = 152,823,110.18
  5. Step 5: Solve for x
    x = 152,823,110.18/14,443.65
  6. Step 6: Final answer
    x = 10,580.64

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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.