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Finding the Fourth Proportional to 13,840.61, 19,100.07 and 7,552.98

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Solution

The fourth proportional to 13,840.61, 19,100.07 and 7,552.98 is: 10,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.61 : 19,100.07 = 7,552.98 : x
  2. Step 2: Convert to fraction form
    13,840.61/19,100.07 = 7,552.98/x
  3. Step 3: Cross multiply
    13,840.61x = 19,100.07 × 7,552.98
  4. Step 4: Simplify right side
    13,840.61x = 144,262,446.71
  5. Step 5: Solve for x
    x = 144,262,446.71/13,840.61
  6. Step 6: Final answer
    x = 10,423.13

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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.