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Finding the Fourth Proportional to 13,777.95, 19,013.54 and 7,810.02

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Solution

The fourth proportional to 13,777.95, 19,013.54 and 7,810.02 is: 10,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.95 : 19,013.54 = 7,810.02 : x
  2. Step 2: Convert to fraction form
    13,777.95/19,013.54 = 7,810.02/x
  3. Step 3: Cross multiply
    13,777.95x = 19,013.54 × 7,810.02
  4. Step 4: Simplify right side
    13,777.95x = 148,496,088.62
  5. Step 5: Solve for x
    x = 148,496,088.62/13,777.95
  6. Step 6: Final answer
    x = 10,777.81

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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.