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Finding the Fourth Proportional to 25,566, 35,284.32 and 14,390.16

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Solution

The fourth proportional to 25,566, 35,284.32 and 14,390.16 is: 19,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566 : 35,284.32 = 14,390.16 : x
  2. Step 2: Convert to fraction form
    25,566/35,284.32 = 14,390.16/x
  3. Step 3: Cross multiply
    25,566x = 35,284.32 × 14,390.16
  4. Step 4: Simplify right side
    25,566x = 507,747,010.29
  5. Step 5: Solve for x
    x = 507,747,010.29/25,566
  6. Step 6: Final answer
    x = 19,860.24

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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.