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Finding the Fourth Proportional to 16,459.76, 22,714.65 and 9,386.60

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Solution

The fourth proportional to 16,459.76, 22,714.65 and 9,386.60 is: 12,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.76 : 22,714.65 = 9,386.60 : x
  2. Step 2: Convert to fraction form
    16,459.76/22,714.65 = 9,386.60/x
  3. Step 3: Cross multiply
    16,459.76x = 22,714.65 × 9,386.60
  4. Step 4: Simplify right side
    16,459.76x = 213,213,333.69
  5. Step 5: Solve for x
    x = 213,213,333.69/16,459.76
  6. Step 6: Final answer
    x = 12,953.61

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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.