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Finding the Fourth Proportional to 12,113.08, 16,714.55 and 7,009.47

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Solution

The fourth proportional to 12,113.08, 16,714.55 and 7,009.47 is: 9,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.08 : 16,714.55 = 7,009.47 : x
  2. Step 2: Convert to fraction form
    12,113.08/16,714.55 = 7,009.47/x
  3. Step 3: Cross multiply
    12,113.08x = 16,714.55 × 7,009.47
  4. Step 4: Simplify right side
    12,113.08x = 117,160,154.31
  5. Step 5: Solve for x
    x = 117,160,154.31/12,113.08
  6. Step 6: Final answer
    x = 9,672.20

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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.