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Finding the Fourth Proportional to 18,013.95, 24,856.68 and 10,056

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Solution

The fourth proportional to 18,013.95, 24,856.68 and 10,056 is: 13,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013.95 : 24,856.68 = 10,056 : x
  2. Step 2: Convert to fraction form
    18,013.95/24,856.68 = 10,056/x
  3. Step 3: Cross multiply
    18,013.95x = 24,856.68 × 10,056
  4. Step 4: Simplify right side
    18,013.95x = 249,958,774.08
  5. Step 5: Solve for x
    x = 249,958,774.08/18,013.95
  6. Step 6: Final answer
    x = 13,875.84

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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.