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Finding the Fourth Proportional to 13,234.40, 19,862.40 and 12,802.40

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Solution

The fourth proportional to 13,234.40, 19,862.40 and 12,802.40 is: 19,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.40 : 19,862.40 = 12,802.40 : x
  2. Step 2: Convert to fraction form
    13,234.40/19,862.40 = 12,802.40/x
  3. Step 3: Cross multiply
    13,234.40x = 19,862.40 × 12,802.40
  4. Step 4: Simplify right side
    13,234.40x = 254,286,389.76
  5. Step 5: Solve for x
    x = 254,286,389.76/13,234.40
  6. Step 6: Final answer
    x = 19,214.05

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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.