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Finding the Fourth Proportional to 12,365.65, 18,526.74 and 10,298.89

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Solution

The fourth proportional to 12,365.65, 18,526.74 and 10,298.89 is: 15,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.65 : 18,526.74 = 10,298.89 : x
  2. Step 2: Convert to fraction form
    12,365.65/18,526.74 = 10,298.89/x
  3. Step 3: Cross multiply
    12,365.65x = 18,526.74 × 10,298.89
  4. Step 4: Simplify right side
    12,365.65x = 190,804,857.32
  5. Step 5: Solve for x
    x = 190,804,857.32/12,365.65
  6. Step 6: Final answer
    x = 15,430.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.