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Finding the Fourth Proportional to 24,326.49, 33,567.71 and 13,715.49

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Solution

The fourth proportional to 24,326.49, 33,567.71 and 13,715.49 is: 18,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326.49 : 33,567.71 = 13,715.49 : x
  2. Step 2: Convert to fraction form
    24,326.49/33,567.71 = 13,715.49/x
  3. Step 3: Cross multiply
    24,326.49x = 33,567.71 × 13,715.49
  4. Step 4: Simplify right side
    24,326.49x = 460,397,522.25
  5. Step 5: Solve for x
    x = 460,397,522.25/24,326.49
  6. Step 6: Final answer
    x = 18,925.77

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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.