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Finding the Fourth Proportional to 22,307.64, 30,784.95 and 12,237.06

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Solution

The fourth proportional to 22,307.64, 30,784.95 and 12,237.06 is: 16,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.64 : 30,784.95 = 12,237.06 : x
  2. Step 2: Convert to fraction form
    22,307.64/30,784.95 = 12,237.06/x
  3. Step 3: Cross multiply
    22,307.64x = 30,784.95 × 12,237.06
  4. Step 4: Simplify right side
    22,307.64x = 376,717,280.25
  5. Step 5: Solve for x
    x = 376,717,280.25/22,307.64
  6. Step 6: Final answer
    x = 16,887.37

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1.5x scale

Why These Related Problems?

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