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Finding the Fourth Proportional to 16,075.78, 24,015.88 and 10,407.27

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Solution

The fourth proportional to 16,075.78, 24,015.88 and 10,407.27 is: 15,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.78 : 24,015.88 = 10,407.27 : x
  2. Step 2: Convert to fraction form
    16,075.78/24,015.88 = 10,407.27/x
  3. Step 3: Cross multiply
    16,075.78x = 24,015.88 × 10,407.27
  4. Step 4: Simplify right side
    16,075.78x = 249,939,618.61
  5. Step 5: Solve for x
    x = 249,939,618.61/16,075.78
  6. Step 6: Final answer
    x = 15,547.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.