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Finding the Fourth Proportional to 14,920.40, 22,386.66 and 7,527

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Solution

The fourth proportional to 14,920.40, 22,386.66 and 7,527 is: 11,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.40 : 22,386.66 = 7,527 : x
  2. Step 2: Convert to fraction form
    14,920.40/22,386.66 = 7,527/x
  3. Step 3: Cross multiply
    14,920.40x = 22,386.66 × 7,527
  4. Step 4: Simplify right side
    14,920.40x = 168,504,389.82
  5. Step 5: Solve for x
    x = 168,504,389.82/14,920.40
  6. Step 6: Final answer
    x = 11,293.56

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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.