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Finding the Fourth Proportional to 14,708.16, 20,300.78 and 9,046.58

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Solution

The fourth proportional to 14,708.16, 20,300.78 and 9,046.58 is: 12,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.16 : 20,300.78 = 9,046.58 : x
  2. Step 2: Convert to fraction form
    14,708.16/20,300.78 = 9,046.58/x
  3. Step 3: Cross multiply
    14,708.16x = 20,300.78 × 9,046.58
  4. Step 4: Simplify right side
    14,708.16x = 183,652,483.60
  5. Step 5: Solve for x
    x = 183,652,483.60/14,708.16
  6. Step 6: Final answer
    x = 12,486.43

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