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Finding the Fourth Proportional to 23,477.94, 32,396.43 and 13,405.74

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Solution

The fourth proportional to 23,477.94, 32,396.43 and 13,405.74 is: 18,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.94 : 32,396.43 = 13,405.74 : x
  2. Step 2: Convert to fraction form
    23,477.94/32,396.43 = 13,405.74/x
  3. Step 3: Cross multiply
    23,477.94x = 32,396.43 × 13,405.74
  4. Step 4: Simplify right side
    23,477.94x = 434,298,117.51
  5. Step 5: Solve for x
    x = 434,298,117.51/23,477.94
  6. Step 6: Final answer
    x = 18,498.14

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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.