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Finding the Fourth Proportional to 15,929.46, 21,980.16 and 9,214.56

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Solution

The fourth proportional to 15,929.46, 21,980.16 and 9,214.56 is: 12,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.46 : 21,980.16 = 9,214.56 : x
  2. Step 2: Convert to fraction form
    15,929.46/21,980.16 = 9,214.56/x
  3. Step 3: Cross multiply
    15,929.46x = 21,980.16 × 9,214.56
  4. Step 4: Simplify right side
    15,929.46x = 202,537,503.13
  5. Step 5: Solve for x
    x = 202,537,503.13/15,929.46
  6. Step 6: Final answer
    x = 12,714.65

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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.