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Finding the Fourth Proportional to 24,353.85, 36,527.58 and 7,714.02

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Solution

The fourth proportional to 24,353.85, 36,527.58 and 7,714.02 is: 11,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.85 : 36,527.58 = 7,714.02 : x
  2. Step 2: Convert to fraction form
    24,353.85/36,527.58 = 7,714.02/x
  3. Step 3: Cross multiply
    24,353.85x = 36,527.58 × 7,714.02
  4. Step 4: Simplify right side
    24,353.85x = 281,774,482.67
  5. Step 5: Solve for x
    x = 281,774,482.67/24,353.85
  6. Step 6: Final answer
    x = 11,570.02

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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.