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Finding the Fourth Proportional to 25,546, 35,256.72 and 14,370.16

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Solution

The fourth proportional to 25,546, 35,256.72 and 14,370.16 is: 19,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546 : 35,256.72 = 14,370.16 : x
  2. Step 2: Convert to fraction form
    25,546/35,256.72 = 14,370.16/x
  3. Step 3: Cross multiply
    25,546x = 35,256.72 × 14,370.16
  4. Step 4: Simplify right side
    25,546x = 506,644,707.48
  5. Step 5: Solve for x
    x = 506,644,707.48/25,546
  6. Step 6: Final answer
    x = 19,832.64

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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.