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Finding the Fourth Proportional to 24,507, 36,702 and 14,096.88

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Solution

The fourth proportional to 24,507, 36,702 and 14,096.88 is: 21,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507 : 36,702 = 14,096.88 : x
  2. Step 2: Convert to fraction form
    24,507/36,702 = 14,096.88/x
  3. Step 3: Cross multiply
    24,507x = 36,702 × 14,096.88
  4. Step 4: Simplify right side
    24,507x = 517,383,689.76
  5. Step 5: Solve for x
    x = 517,383,689.76/24,507
  6. Step 6: Final answer
    x = 21,111.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.