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Finding the Fourth Proportional to 23,641.60, 32,619.52 and 15,248

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Solution

The fourth proportional to 23,641.60, 32,619.52 and 15,248 is: 21,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.60 : 32,619.52 = 15,248 : x
  2. Step 2: Convert to fraction form
    23,641.60/32,619.52 = 15,248/x
  3. Step 3: Cross multiply
    23,641.60x = 32,619.52 × 15,248
  4. Step 4: Simplify right side
    23,641.60x = 497,382,440.96
  5. Step 5: Solve for x
    x = 497,382,440.96/23,641.60
  6. Step 6: Final answer
    x = 21,038.44

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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.