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Finding the Fourth Proportional to 14,140.48, 19,506 and 13,139.32

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Solution

The fourth proportional to 14,140.48, 19,506 and 13,139.32 is: 18,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.48 : 19,506 = 13,139.32 : x
  2. Step 2: Convert to fraction form
    14,140.48/19,506 = 13,139.32/x
  3. Step 3: Cross multiply
    14,140.48x = 19,506 × 13,139.32
  4. Step 4: Simplify right side
    14,140.48x = 256,295,575.92
  5. Step 5: Solve for x
    x = 256,295,575.92/14,140.48
  6. Step 6: Final answer
    x = 18,124.96

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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.