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Finding the Fourth Proportional to 19,715.10, 27,206.80 and 12,641.50

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Solution

The fourth proportional to 19,715.10, 27,206.80 and 12,641.50 is: 17,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.10 : 27,206.80 = 12,641.50 : x
  2. Step 2: Convert to fraction form
    19,715.10/27,206.80 = 12,641.50/x
  3. Step 3: Cross multiply
    19,715.10x = 27,206.80 × 12,641.50
  4. Step 4: Simplify right side
    19,715.10x = 343,934,762.20
  5. Step 5: Solve for x
    x = 343,934,762.20/19,715.10
  6. Step 6: Final answer
    x = 17,445.25

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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.