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Finding the Fourth Proportional to 13,810.51, 19,058.88 and 7,841.80

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Solution

The fourth proportional to 13,810.51, 19,058.88 and 7,841.80 is: 10,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.51 : 19,058.88 = 7,841.80 : x
  2. Step 2: Convert to fraction form
    13,810.51/19,058.88 = 7,841.80/x
  3. Step 3: Cross multiply
    13,810.51x = 19,058.88 × 7,841.80
  4. Step 4: Simplify right side
    13,810.51x = 149,455,925.18
  5. Step 5: Solve for x
    x = 149,455,925.18/13,810.51
  6. Step 6: Final answer
    x = 10,821.90

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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.