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Finding the Fourth Proportional to 15,638.40, 23,457.60 and 14,601.60

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Solution

The fourth proportional to 15,638.40, 23,457.60 and 14,601.60 is: 21,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.40 : 23,457.60 = 14,601.60 : x
  2. Step 2: Convert to fraction form
    15,638.40/23,457.60 = 14,601.60/x
  3. Step 3: Cross multiply
    15,638.40x = 23,457.60 × 14,601.60
  4. Step 4: Simplify right side
    15,638.40x = 342,518,492.16
  5. Step 5: Solve for x
    x = 342,518,492.16/15,638.40
  6. Step 6: Final answer
    x = 21,902.40

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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.