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Finding the Fourth Proportional to 14,856.84, 20,459.23 and 13,907.10

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Solution

The fourth proportional to 14,856.84, 20,459.23 and 13,907.10 is: 19,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.84 : 20,459.23 = 13,907.10 : x
  2. Step 2: Convert to fraction form
    14,856.84/20,459.23 = 13,907.10/x
  3. Step 3: Cross multiply
    14,856.84x = 20,459.23 × 13,907.10
  4. Step 4: Simplify right side
    14,856.84x = 284,528,557.53
  5. Step 5: Solve for x
    x = 284,528,557.53/14,856.84
  6. Step 6: Final answer
    x = 19,151.35

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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.