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Finding the Fourth Proportional to 23,492.60, 32,417.94 and 13,419.66

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Solution

The fourth proportional to 23,492.60, 32,417.94 and 13,419.66 is: 18,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.60 : 32,417.94 = 13,419.66 : x
  2. Step 2: Convert to fraction form
    23,492.60/32,417.94 = 13,419.66/x
  3. Step 3: Cross multiply
    23,492.60x = 32,417.94 × 13,419.66
  4. Step 4: Simplify right side
    23,492.60x = 435,037,732.70
  5. Step 5: Solve for x
    x = 435,037,732.70/23,492.60
  6. Step 6: Final answer
    x = 18,518.08

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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.