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Finding the Fourth Proportional to 25,560, 35,272.80 and 14,382.24

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Solution

The fourth proportional to 25,560, 35,272.80 and 14,382.24 is: 19,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,560 : 35,272.80 = 14,382.24 : x
  2. Step 2: Convert to fraction form
    25,560/35,272.80 = 14,382.24/x
  3. Step 3: Cross multiply
    25,560x = 35,272.80 × 14,382.24
  4. Step 4: Simplify right side
    25,560x = 507,301,875.07
  5. Step 5: Solve for x
    x = 507,301,875.07/25,560
  6. Step 6: Final answer
    x = 19,847.49

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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.