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Finding the Fourth Proportional to 21,829.59, 30,124.88 and 12,398.16

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Solution

The fourth proportional to 21,829.59, 30,124.88 and 12,398.16 is: 17,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.59 : 30,124.88 = 12,398.16 : x
  2. Step 2: Convert to fraction form
    21,829.59/30,124.88 = 12,398.16/x
  3. Step 3: Cross multiply
    21,829.59x = 30,124.88 × 12,398.16
  4. Step 4: Simplify right side
    21,829.59x = 373,492,953.75
  5. Step 5: Solve for x
    x = 373,492,953.75/21,829.59
  6. Step 6: Final answer
    x = 17,109.48

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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.