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Finding the Fourth Proportional to 18,533.12, 25,575.58 and 10,035.10

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Solution

The fourth proportional to 18,533.12, 25,575.58 and 10,035.10 is: 13,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.12 : 25,575.58 = 10,035.10 : x
  2. Step 2: Convert to fraction form
    18,533.12/25,575.58 = 10,035.10/x
  3. Step 3: Cross multiply
    18,533.12x = 25,575.58 × 10,035.10
  4. Step 4: Simplify right side
    18,533.12x = 256,653,547.37
  5. Step 5: Solve for x
    x = 256,653,547.37/18,533.12
  6. Step 6: Final answer
    x = 13,848.38

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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.