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Finding the Fourth Proportional to 22,307.52, 30,783.40 and 13,360

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Solution

The fourth proportional to 22,307.52, 30,783.40 and 13,360 is: 18,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.52 : 30,783.40 = 13,360 : x
  2. Step 2: Convert to fraction form
    22,307.52/30,783.40 = 13,360/x
  3. Step 3: Cross multiply
    22,307.52x = 30,783.40 × 13,360
  4. Step 4: Simplify right side
    22,307.52x = 411,266,224
  5. Step 5: Solve for x
    x = 411,266,224/22,307.52
  6. Step 6: Final answer
    x = 18,436.21

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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.