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Finding the Fourth Proportional to 15,693.50, 21,656.93 and 9,405.87

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Solution

The fourth proportional to 15,693.50, 21,656.93 and 9,405.87 is: 12,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.50 : 21,656.93 = 9,405.87 : x
  2. Step 2: Convert to fraction form
    15,693.50/21,656.93 = 9,405.87/x
  3. Step 3: Cross multiply
    15,693.50x = 21,656.93 × 9,405.87
  4. Step 4: Simplify right side
    15,693.50x = 203,702,221.15
  5. Step 5: Solve for x
    x = 203,702,221.15/15,693.50
  6. Step 6: Final answer
    x = 12,980.04

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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.