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Finding the Fourth Proportional to 15,578, 21,497.66 and 9,989

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Solution

The fourth proportional to 15,578, 21,497.66 and 9,989 is: 13,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 21,497.66 = 9,989 : x
  2. Step 2: Convert to fraction form
    15,578/21,497.66 = 9,989/x
  3. Step 3: Cross multiply
    15,578x = 21,497.66 × 9,989
  4. Step 4: Simplify right side
    15,578x = 214,740,125.74
  5. Step 5: Solve for x
    x = 214,740,125.74/15,578
  6. Step 6: Final answer
    x = 13,784.83

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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.