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Finding the Fourth Proportional to 14,075.64, 19,415.88 and 9,038.16

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Solution

The fourth proportional to 14,075.64, 19,415.88 and 9,038.16 is: 12,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.64 : 19,415.88 = 9,038.16 : x
  2. Step 2: Convert to fraction form
    14,075.64/19,415.88 = 9,038.16/x
  3. Step 3: Cross multiply
    14,075.64x = 19,415.88 × 9,038.16
  4. Step 4: Simplify right side
    14,075.64x = 175,483,829.98
  5. Step 5: Solve for x
    x = 175,483,829.98/14,075.64
  6. Step 6: Final answer
    x = 12,467.20

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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.