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Finding the Fourth Proportional to 25,697.64, 35,460.02 and 14,365.95

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Solution

The fourth proportional to 25,697.64, 35,460.02 and 14,365.95 is: 19,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.64 : 35,460.02 = 14,365.95 : x
  2. Step 2: Convert to fraction form
    25,697.64/35,460.02 = 14,365.95/x
  3. Step 3: Cross multiply
    25,697.64x = 35,460.02 × 14,365.95
  4. Step 4: Simplify right side
    25,697.64x = 509,416,802.49
  5. Step 5: Solve for x
    x = 509,416,802.49/25,697.64
  6. Step 6: Final answer
    x = 19,823.49

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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.