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Finding the Fourth Proportional to 22,901.64, 34,307.73 and 15,784.61

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Solution

The fourth proportional to 22,901.64, 34,307.73 and 15,784.61 is: 23,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.64 : 34,307.73 = 15,784.61 : x
  2. Step 2: Convert to fraction form
    22,901.64/34,307.73 = 15,784.61/x
  3. Step 3: Cross multiply
    22,901.64x = 34,307.73 × 15,784.61
  4. Step 4: Simplify right side
    22,901.64x = 541,533,966.50
  5. Step 5: Solve for x
    x = 541,533,966.50/22,901.64
  6. Step 6: Final answer
    x = 23,646.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.