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Finding the Fourth Proportional to 13,400.17, 19,982.18 and 12,465.16

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Solution

The fourth proportional to 13,400.17, 19,982.18 and 12,465.16 is: 18,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.17 : 19,982.18 = 12,465.16 : x
  2. Step 2: Convert to fraction form
    13,400.17/19,982.18 = 12,465.16/x
  3. Step 3: Cross multiply
    13,400.17x = 19,982.18 × 12,465.16
  4. Step 4: Simplify right side
    13,400.17x = 249,081,070.85
  5. Step 5: Solve for x
    x = 249,081,070.85/13,400.17
  6. Step 6: Final answer
    x = 18,587.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.