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Finding the Fourth Proportional to 14,696.08, 20,281.14 and 9,029.02

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Solution

The fourth proportional to 14,696.08, 20,281.14 and 9,029.02 is: 12,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.08 : 20,281.14 = 9,029.02 : x
  2. Step 2: Convert to fraction form
    14,696.08/20,281.14 = 9,029.02/x
  3. Step 3: Cross multiply
    14,696.08x = 20,281.14 × 9,029.02
  4. Step 4: Simplify right side
    14,696.08x = 183,118,818.68
  5. Step 5: Solve for x
    x = 183,118,818.68/14,696.08
  6. Step 6: Final answer
    x = 12,460.39

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1.5x scale

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.