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Finding the Fourth Proportional to 25,024, 34,533.10 and 13,693.58

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Solution

The fourth proportional to 25,024, 34,533.10 and 13,693.58 is: 18,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024 : 34,533.10 = 13,693.58 : x
  2. Step 2: Convert to fraction form
    25,024/34,533.10 = 13,693.58/x
  3. Step 3: Cross multiply
    25,024x = 34,533.10 × 13,693.58
  4. Step 4: Simplify right side
    25,024x = 472,881,767.50
  5. Step 5: Solve for x
    x = 472,881,767.50/25,024
  6. Step 6: Final answer
    x = 18,897.13

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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.