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Finding the Fourth Proportional to 15,746.90, 21,723.86 and 9,455.63

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Solution

The fourth proportional to 15,746.90, 21,723.86 and 9,455.63 is: 13,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.90 : 21,723.86 = 9,455.63 : x
  2. Step 2: Convert to fraction form
    15,746.90/21,723.86 = 9,455.63/x
  3. Step 3: Cross multiply
    15,746.90x = 21,723.86 × 9,455.63
  4. Step 4: Simplify right side
    15,746.90x = 205,412,697.35
  5. Step 5: Solve for x
    x = 205,412,697.35/15,746.90
  6. Step 6: Final answer
    x = 13,044.65

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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.