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Finding the Fourth Proportional to 24,492.60, 36,714.42 and 9,696.06

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Solution

The fourth proportional to 24,492.60, 36,714.42 and 9,696.06 is: 14,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.60 : 36,714.42 = 9,696.06 : x
  2. Step 2: Convert to fraction form
    24,492.60/36,714.42 = 9,696.06/x
  3. Step 3: Cross multiply
    24,492.60x = 36,714.42 × 9,696.06
  4. Step 4: Simplify right side
    24,492.60x = 355,985,219.19
  5. Step 5: Solve for x
    x = 355,985,219.19/24,492.60
  6. Step 6: Final answer
    x = 14,534.40

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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.