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Finding the Fourth Proportional to 14,970.24, 20,661.38 and 9,005.20

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Solution

The fourth proportional to 14,970.24, 20,661.38 and 9,005.20 is: 12,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.24 : 20,661.38 = 9,005.20 : x
  2. Step 2: Convert to fraction form
    14,970.24/20,661.38 = 9,005.20/x
  3. Step 3: Cross multiply
    14,970.24x = 20,661.38 × 9,005.20
  4. Step 4: Simplify right side
    14,970.24x = 186,059,859.18
  5. Step 5: Solve for x
    x = 186,059,859.18/14,970.24
  6. Step 6: Final answer
    x = 12,428.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.