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Finding the Fourth Proportional to 12,328.12, 18,492.54 and 3,565

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Solution

The fourth proportional to 12,328.12, 18,492.54 and 3,565 is: 5,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.12 : 18,492.54 = 3,565 : x
  2. Step 2: Convert to fraction form
    12,328.12/18,492.54 = 3,565/x
  3. Step 3: Cross multiply
    12,328.12x = 18,492.54 × 3,565
  4. Step 4: Simplify right side
    12,328.12x = 65,925,905.10
  5. Step 5: Solve for x
    x = 65,925,905.10/12,328.12
  6. Step 6: Final answer
    x = 5,347.60

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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.