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Finding the Fourth Proportional to 10,188.51, 15,283.90 and 9,142.08

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Solution

The fourth proportional to 10,188.51, 15,283.90 and 9,142.08 is: 13,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.51 : 15,283.90 = 9,142.08 : x
  2. Step 2: Convert to fraction form
    10,188.51/15,283.90 = 9,142.08/x
  3. Step 3: Cross multiply
    10,188.51x = 15,283.90 × 9,142.08
  4. Step 4: Simplify right side
    10,188.51x = 139,726,590.62
  5. Step 5: Solve for x
    x = 139,726,590.62/10,188.51
  6. Step 6: Final answer
    x = 13,714.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.