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Finding the Fourth Proportional to 22,503.68, 31,056.64 and 13,075.20

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Solution

The fourth proportional to 22,503.68, 31,056.64 and 13,075.20 is: 18,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.68 : 31,056.64 = 13,075.20 : x
  2. Step 2: Convert to fraction form
    22,503.68/31,056.64 = 13,075.20/x
  3. Step 3: Cross multiply
    22,503.68x = 31,056.64 × 13,075.20
  4. Step 4: Simplify right side
    22,503.68x = 406,071,779.33
  5. Step 5: Solve for x
    x = 406,071,779.33/22,503.68
  6. Step 6: Final answer
    x = 18,044.68

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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.