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Finding the Fourth Proportional to 13,862.48, 19,117 and 9,075.28

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Solution

The fourth proportional to 13,862.48, 19,117 and 9,075.28 is: 12,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.48 : 19,117 = 9,075.28 : x
  2. Step 2: Convert to fraction form
    13,862.48/19,117 = 9,075.28/x
  3. Step 3: Cross multiply
    13,862.48x = 19,117 × 9,075.28
  4. Step 4: Simplify right side
    13,862.48x = 173,492,127.76
  5. Step 5: Solve for x
    x = 173,492,127.76/13,862.48
  6. Step 6: Final answer
    x = 12,515.23

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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.