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Finding the Fourth Proportional to 23,490, 32,419.08 and 13,554

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Solution

The fourth proportional to 23,490, 32,419.08 and 13,554 is: 18,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490 : 32,419.08 = 13,554 : x
  2. Step 2: Convert to fraction form
    23,490/32,419.08 = 13,554/x
  3. Step 3: Cross multiply
    23,490x = 32,419.08 × 13,554
  4. Step 4: Simplify right side
    23,490x = 439,408,210.32
  5. Step 5: Solve for x
    x = 439,408,210.32/23,490
  6. Step 6: Final answer
    x = 18,706.18

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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.