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Finding the Fourth Proportional to 13,707.58, 18,916.29 and 7,739.50

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Solution

The fourth proportional to 13,707.58, 18,916.29 and 7,739.50 is: 10,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.58 : 18,916.29 = 7,739.50 : x
  2. Step 2: Convert to fraction form
    13,707.58/18,916.29 = 7,739.50/x
  3. Step 3: Cross multiply
    13,707.58x = 18,916.29 × 7,739.50
  4. Step 4: Simplify right side
    13,707.58x = 146,402,598.51
  5. Step 5: Solve for x
    x = 146,402,598.51/13,707.58
  6. Step 6: Final answer
    x = 10,680.41

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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.