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Finding the Fourth Proportional to 15,587.46, 23,464.47 and 13,980

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Solution

The fourth proportional to 15,587.46, 23,464.47 and 13,980 is: 21,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587.46 : 23,464.47 = 13,980 : x
  2. Step 2: Convert to fraction form
    15,587.46/23,464.47 = 13,980/x
  3. Step 3: Cross multiply
    15,587.46x = 23,464.47 × 13,980
  4. Step 4: Simplify right side
    15,587.46x = 328,033,290.60
  5. Step 5: Solve for x
    x = 328,033,290.60/15,587.46
  6. Step 6: Final answer
    x = 21,044.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.