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Finding the Fourth Proportional to 21,510.29, 29,684.07 and 12,078.86

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Solution

The fourth proportional to 21,510.29, 29,684.07 and 12,078.86 is: 16,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.29 : 29,684.07 = 12,078.86 : x
  2. Step 2: Convert to fraction form
    21,510.29/29,684.07 = 12,078.86/x
  3. Step 3: Cross multiply
    21,510.29x = 29,684.07 × 12,078.86
  4. Step 4: Simplify right side
    21,510.29x = 358,549,577.34
  5. Step 5: Solve for x
    x = 358,549,577.34/21,510.29
  6. Step 6: Final answer
    x = 16,668.74

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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.