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Finding the Fourth Proportional to 25,429, 35,094.18 and 14,253.16

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Solution

The fourth proportional to 25,429, 35,094.18 and 14,253.16 is: 19,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,429 : 35,094.18 = 14,253.16 : x
  2. Step 2: Convert to fraction form
    25,429/35,094.18 = 14,253.16/x
  3. Step 3: Cross multiply
    25,429x = 35,094.18 × 14,253.16
  4. Step 4: Simplify right side
    25,429x = 500,202,962.61
  5. Step 5: Solve for x
    x = 500,202,962.61/25,429
  6. Step 6: Final answer
    x = 19,670.57

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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.