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Finding the Fourth Proportional to 14,992.74, 20,696.04 and 9,029.52

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Solution

The fourth proportional to 14,992.74, 20,696.04 and 9,029.52 is: 12,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.74 : 20,696.04 = 9,029.52 : x
  2. Step 2: Convert to fraction form
    14,992.74/20,696.04 = 9,029.52/x
  3. Step 3: Cross multiply
    14,992.74x = 20,696.04 × 9,029.52
  4. Step 4: Simplify right side
    14,992.74x = 186,875,307.10
  5. Step 5: Solve for x
    x = 186,875,307.10/14,992.74
  6. Step 6: Final answer
    x = 12,464.39

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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.