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Finding the Fourth Proportional to 23,509.71, 32,434.88 and 15,447.69

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Solution

The fourth proportional to 23,509.71, 32,434.88 and 15,447.69 is: 21,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.71 : 32,434.88 = 15,447.69 : x
  2. Step 2: Convert to fraction form
    23,509.71/32,434.88 = 15,447.69/x
  3. Step 3: Cross multiply
    23,509.71x = 32,434.88 × 15,447.69
  4. Step 4: Simplify right side
    23,509.71x = 501,043,894.19
  5. Step 5: Solve for x
    x = 501,043,894.19/23,509.71
  6. Step 6: Final answer
    x = 21,312.21

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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.