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Finding the Fourth Proportional to 23,565.64, 32,521 and 12,955.24

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Solution

The fourth proportional to 23,565.64, 32,521 and 12,955.24 is: 17,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.64 : 32,521 = 12,955.24 : x
  2. Step 2: Convert to fraction form
    23,565.64/32,521 = 12,955.24/x
  3. Step 3: Cross multiply
    23,565.64x = 32,521 × 12,955.24
  4. Step 4: Simplify right side
    23,565.64x = 421,317,360.04
  5. Step 5: Solve for x
    x = 421,317,360.04/23,565.64
  6. Step 6: Final answer
    x = 17,878.46

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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.