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Finding the Fourth Proportional to 24,065.40, 36,098.10 and 12,401.40

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Solution

The fourth proportional to 24,065.40, 36,098.10 and 12,401.40 is: 18,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.40 : 36,098.10 = 12,401.40 : x
  2. Step 2: Convert to fraction form
    24,065.40/36,098.10 = 12,401.40/x
  3. Step 3: Cross multiply
    24,065.40x = 36,098.10 × 12,401.40
  4. Step 4: Simplify right side
    24,065.40x = 447,666,977.34
  5. Step 5: Solve for x
    x = 447,666,977.34/24,065.40
  6. Step 6: Final answer
    x = 18,602.10

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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.