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Finding the Fourth Proportional to 13,098.51, 18,075.76 and 7,130.23

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Solution

The fourth proportional to 13,098.51, 18,075.76 and 7,130.23 is: 9,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.51 : 18,075.76 = 7,130.23 : x
  2. Step 2: Convert to fraction form
    13,098.51/18,075.76 = 7,130.23/x
  3. Step 3: Cross multiply
    13,098.51x = 18,075.76 × 7,130.23
  4. Step 4: Simplify right side
    13,098.51x = 128,884,263.21
  5. Step 5: Solve for x
    x = 128,884,263.21/13,098.51
  6. Step 6: Final answer
    x = 9,839.61

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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.