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Finding the Fourth Proportional to 13,677.48, 18,875.40 and 7,709.40

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Solution

The fourth proportional to 13,677.48, 18,875.40 and 7,709.40 is: 10,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.48 : 18,875.40 = 7,709.40 : x
  2. Step 2: Convert to fraction form
    13,677.48/18,875.40 = 7,709.40/x
  3. Step 3: Cross multiply
    13,677.48x = 18,875.40 × 7,709.40
  4. Step 4: Simplify right side
    13,677.48x = 145,518,008.76
  5. Step 5: Solve for x
    x = 145,518,008.76/13,677.48
  6. Step 6: Final answer
    x = 10,639.24

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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.