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Finding the Fourth Proportional to 16,459.50, 22,714.48 and 9,386.58

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Solution

The fourth proportional to 16,459.50, 22,714.48 and 9,386.58 is: 12,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.50 : 22,714.48 = 9,386.58 : x
  2. Step 2: Convert to fraction form
    16,459.50/22,714.48 = 9,386.58/x
  3. Step 3: Cross multiply
    16,459.50x = 22,714.48 × 9,386.58
  4. Step 4: Simplify right side
    16,459.50x = 213,211,283.68
  5. Step 5: Solve for x
    x = 213,211,283.68/16,459.50
  6. Step 6: Final answer
    x = 12,953.69

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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.