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Finding the Fourth Proportional to 12,071.34, 16,686.34 and 10,070.24

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Solution

The fourth proportional to 12,071.34, 16,686.34 and 10,070.24 is: 13,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.34 : 16,686.34 = 10,070.24 : x
  2. Step 2: Convert to fraction form
    12,071.34/16,686.34 = 10,070.24/x
  3. Step 3: Cross multiply
    12,071.34x = 16,686.34 × 10,070.24
  4. Step 4: Simplify right side
    12,071.34x = 168,035,448.52
  5. Step 5: Solve for x
    x = 168,035,448.52/12,071.34
  6. Step 6: Final answer
    x = 13,920.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.