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Finding the Fourth Proportional to 25,656.40, 35,405.72 and 14,478.40

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Solution

The fourth proportional to 25,656.40, 35,405.72 and 14,478.40 is: 19,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.40 : 35,405.72 = 14,478.40 : x
  2. Step 2: Convert to fraction form
    25,656.40/35,405.72 = 14,478.40/x
  3. Step 3: Cross multiply
    25,656.40x = 35,405.72 × 14,478.40
  4. Step 4: Simplify right side
    25,656.40x = 512,618,176.45
  5. Step 5: Solve for x
    x = 512,618,176.45/25,656.40
  6. Step 6: Final answer
    x = 19,980.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.