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Finding the Fourth Proportional to 21,830.62, 30,124.86 and 12,878.50

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Solution

The fourth proportional to 21,830.62, 30,124.86 and 12,878.50 is: 17,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.62 : 30,124.86 = 12,878.50 : x
  2. Step 2: Convert to fraction form
    21,830.62/30,124.86 = 12,878.50/x
  3. Step 3: Cross multiply
    21,830.62x = 30,124.86 × 12,878.50
  4. Step 4: Simplify right side
    21,830.62x = 387,963,009.51
  5. Step 5: Solve for x
    x = 387,963,009.51/21,830.62
  6. Step 6: Final answer
    x = 17,771.51

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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.