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Finding the Fourth Proportional to 25,672.32, 35,428.32 and 14,492.16

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Solution

The fourth proportional to 25,672.32, 35,428.32 and 14,492.16 is: 19,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.32 : 35,428.32 = 14,492.16 : x
  2. Step 2: Convert to fraction form
    25,672.32/35,428.32 = 14,492.16/x
  3. Step 3: Cross multiply
    25,672.32x = 35,428.32 × 14,492.16
  4. Step 4: Simplify right side
    25,672.32x = 513,432,881.97
  5. Step 5: Solve for x
    x = 513,432,881.97/25,672.32
  6. Step 6: Final answer
    x = 19,999.47

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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.