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Finding the Fourth Proportional to 12,409.48, 18,592.53 and 10,342.77

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Solution

The fourth proportional to 12,409.48, 18,592.53 and 10,342.77 is: 15,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.48 : 18,592.53 = 10,342.77 : x
  2. Step 2: Convert to fraction form
    12,409.48/18,592.53 = 10,342.77/x
  3. Step 3: Cross multiply
    12,409.48x = 18,592.53 × 10,342.77
  4. Step 4: Simplify right side
    12,409.48x = 192,298,261.51
  5. Step 5: Solve for x
    x = 192,298,261.51/12,409.48
  6. Step 6: Final answer
    x = 15,496.08

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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.