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Finding the Fourth Proportional to 13,510.53, 18,645.54 and 7,461.93

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Solution

The fourth proportional to 13,510.53, 18,645.54 and 7,461.93 is: 10,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.53 : 18,645.54 = 7,461.93 : x
  2. Step 2: Convert to fraction form
    13,510.53/18,645.54 = 7,461.93/x
  3. Step 3: Cross multiply
    13,510.53x = 18,645.54 × 7,461.93
  4. Step 4: Simplify right side
    13,510.53x = 139,131,714.29
  5. Step 5: Solve for x
    x = 139,131,714.29/13,510.53
  6. Step 6: Final answer
    x = 10,298.02

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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.